Oscar charges $25 for the first hour of tutoring and $15 for each additional hour of fraction of an hour counting as a whole hour. the rates that Latoya charges for x hours of tutoring are modeled with with the function shown.
Choose.. will charge (5,10,15,20) more to tutor for 5.5 hours

Oscar Charges $25 For The First Hour Of Tutoring And $15 For Each Additional Hour Of Fraction Of An Hour

Answers

Answer 1

Answer:

Latoya will charge $10 more to tutor for 5.5 hours

Step-by-step explanation:

We shall look at the total charges of both tutors individually.

Oscar charges $25 for the first hour of tutoring and $15 for each additional hour of fraction of an hour counting as a whole hour.

This means that for the first hour, Oscar charges $25.

For every subsequent hour, regardless of whether the student was tutored for the full hour or only partial, Oscar still charges $15 for the particular hour. To clarify, here is an example.

If a student is tutored for 2 hours, the cost for Oscar's tutoring is $25 (first hour) + $15 (second hour) = $40. However, if the student is still tutored for 1.5 hours, the cost for Oscar's tutoring is still $25 (first hour) + $15 (second hour) = $40. This is because Oscar counts the partial minutes as a full hour in tutoring costs.

For 5.5 hours, the cost of Oscar's tutoring is

$25 (first hour) + $15*4 (2nd to 5th hours) + $15 (the last half an hour) = $100.

Now, we shall look at Latoya's tutoring cost.

f(x) =

30x,

[tex]0 \leqslant x \leqslant 3[/tex]

20x,

[tex]3 < x \leqslant 6[/tex]

10x,

[tex]x > 6[/tex]

The tutoring cost depends on x, the number of tutoring hours. In this case, x is 5.5. The cost for 5.5 hour depends on the formula 20x since 5.5 is more than 3 but less than 6.

Hence, the tutoring cost for Latoya is $20*5.5 = $110.

In this case, Latoya charges $110-$100=$10 more to tutor for 5.5 hours.


Related Questions

help with the question below please!!

Answers

Answer:

a.= 24 b.=-21 c. is x=-7 or 3

Step-by-step explanation:

Step-by-step explanation:

a) f(5)= 5² + 4 x 5 -21

=24

b) f(0)= 0² + 4 x 0 -21

= -21

c) f(x)= 0

=> x² + 4x -21 =0

=> x = 3, x= -7

Please help me i'm struggling!

Answers

Answer:

c

Step-by-step explanation:

Answer:

x is greater than or equal to 3

So it is the first answer.

A town has a population of 17000 and grows at 4% every year. What will be the population after 12 years. To the nearest whole number

Answers

Answer:

17000+3400 =

Step-by-step explanation:

Answer:

25,160

Step-by-step explanation:

ok if it grows 4% every year, 12 years later it will have grown 48%. so 48% of 17,000 is 8,160, so 17,000+8,160=25,160, so that is the population after 12 years.

find the area for this figure

Answers

8 square units

Divide figure into one square, and two triangles

Area of square:
2 x 2 = 4 square units

Area of ONE triangle:
1/2 x 2 x 2 = 2 square units
The triangles we have are both sizes, so multiply this by 2:
2 square units x 2 = 4 square units

ADD THE AREA OF SQUARE AND TRIANGLES:
4 square units + 4 square units = 8 square units

Have a nice day

Write an equation of the line that passes through the point (2, -3) and has a
slope of -1.

Answers

Answer:

Y = -1x - 1

Step-by-step explanation:

I used desmos graphing calculator and tried until I got a line that worked.  It passes through (2, -3) and has a slope of -1

Hope this helped :)

What are the zeros of the quadratic function f(x) = 2x2 – 10x – 3?

Answers

Answer:

[tex]x = \frac{ 5 \ + \ \sqrt{31}}{2} \ , \ x = \frac{ 5 \ - \ \sqrt{31}}{2}[/tex]

Step-by-step explanation:

[tex]2x^2 - 10x - 3 = 0 \\\\a = 2 \ , b = - 10 \ , \ c = - 3 \\\\x = \frac{-b^2\ \pm \ \sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{10 \ \pm \sqrt{(-10)^2 - ( 4 \times 2 \times -3)} }{2 \times 2}\\\\x = \frac{10 \ \pm \sqrt{(100 - ( -24 )} }{4}\\\\x = \frac{10 \ \pm \sqrt{(100 + 24 } }{4}\\\\x = \frac{ 10 \ \pm \sqrt{124}}{4}\\\\x = \frac{ 10 \ \pm \sqrt{4 \times 31}}{4}\\\\x = \frac{ 10 \ \pm \sqrt{2^2 \times 31}}{4}\\\\x = \frac{ 10 \ \pm2 \sqrt{31}}{4}\\\\x = \frac{ 5 \ \pm\sqrt{31}}{2}\\\\[/tex]

[tex]x = \frac{ 5 \ + \ \sqrt{31}}{2} \ , \ x = \frac{ 5 \ - \ \sqrt{31}}{2}[/tex]

Whats 8^6 ÷ 8 pls ty :D

Answers

Answer:

[tex] {8}^{6} \div 8 \\ = {8}^{6} \div {8}^{1} \\ = {8}^{(6 - 1)} \\ = {8}^{5} [/tex]

Answer:

[tex]8^{5}[/tex] or 32768

Step-by-step explanation:

When dividing exponents, you subtract the exponent on the top from the one on the bottom:

[tex]8^{6}[/tex]/[tex]8^{1}[/tex] = [tex]8^5[/tex]  because 6-1 = 5

write the set builder form of
{1, 1/4, 1/9, 1/16, 1/25}​

Answers

here i hope this answer will help you

what is the answer? becuase i am just confused

Answers

Answer:

Step-by-step explanation:

radius of circle is 12

also there is 2 right angles in the triangle if you wanted to solve this problem yourself

but here's the answer:

arc angle of the triangle inside the sircle is double the angle closest to x.

(the pointy area of the triangle is half the angle length of the arc)

i can add more though:

hiiii ^-^ need help again with some math ikr math sucks -v-

Answers

Answer:

5a) -8 .     Plan : addition/negative?

5b) -30 .   Plan: subtraction/negative?

Step-by-step explanation:

Im not so sure about what "Plan" means, hopefully you know..

5a)

-15 + 7 = 7 - 15 = -8

5b) -10 +(-20) = -10 - 20 = -30

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Below

Step-by-step explanation:

So lets start with the first one:

-15+7

We are going to add these together, and will get -8.

Next we have:

-10+(-20)

When there is both a subtraction or negative sign, and a plus sign, the plus sign is removed.

So we can think of this as:

-10-20

And since the -10 is negative, and we are subtracting it, it is going to get more engative:

-10-20=-30

This is the solution answer.

I do not know what the answer to the plan is, i dont understand what plan means.

Hi can someone please help me with this thanks

Answers

Answer: 18

Does this help??

Find the volume of a right circular cone that has a height of 20 ft and a base with a
radius of 9.1 ft. Round your answer to the nearest tenth of a cubic foot.

Answers

Your answer will be 1733.489333ft³
When rounding it will be
1733.1ft³
My rounding might be wrong
Hope it helps : )

A sign has 3 identical parallelogram-shaped stripes as shown. Charles must
outline each stripe with reflective tape. Is one roll of 86 inches of tape enough to
finish the job? Explain.

Answers

Answer:

it looks like the length of one of the parts is

Step-by-step explanation:

sqrt(125) from 10^2 +5^2 = sqrt(125) using the pathogen Therom since the 3 lines are identical since they are parallel you multiply sqrt(125) by 3

so 3×sqrt(125)=33.54 inches of tape which is way less then than 86

hey, this is the last thing I'm asking help with today.thank you

Answers

Answer:

A

Step-by-step explanation:

the middle angle has to be equal to make the entire angle equal

Ryan took a hike on sunday. he hiked uphill for 15 minutes. then he hiked another River for 12 minutes. he hiked downhill for 8 minutes along a river for 5 minutes. how many seconds did Ryan hike on Sunday? plz help​

Answers

Answer:

2400 seconds

Step-by-step explanation:

Answer:

40 min = 2400 sec

Step-by-step explanation:

What is the least number of apples that can be shared equally among either 6, 10 or 15 children?

Answers

Answer:

If you mean with out splitting up the apple then we could just give one apple to each child so it would look like this

6 children 6 apples

10 children 10 apples

15 children 15 apples

NEED ASAP NOWWWWWW TY

Answers

Answer:

subtract 8 from both sides

Step-by-step explanation:

the answer is B im pretty sure

Hallar el menor número no divisible por 4, 6, 9, 11 y 12, tal que al dividirlo por estos números se obtengan restos iguales.

Answers

Answer:

397

Step-by-step explanation:

Sea 'p (x)' el número que no es divisible por 4, 6, 9, 11 y 12 de manera que cuando se divide por estos números da un resto igual, tenemos;

Por teorema del resto, tenemos;

p (x) = (x - a) · Q (x) + R

Dónde;

p (x) = El número, que se divide

Q (x) = El cociente

(x - a) = El divisor

R = El resto

Dado que el número más pequeño es 4, el resto, 0 <R <4

Para el número entero más pequeño arriba (x - a) · Q (x), tenemos;

R = 1

Observamos que el mínimo común múltiplo de 4, 6, 9, 11 y 12 = 396, por lo tanto, podemos tener;

(x - a) · Q (x) = 396

R = 1, dar;

p (x) = 396 + 1 = 397

Por lo tanto;

El número que no es divisible por 4, 6, 9, 11 y 12, de manera que cuando se divide por estos números da residuos iguales, p (x) = 397

Is this correct!! Can someone verify!!

Answers

Yeah, it’s totally correct.

Round 27834 to 2 significant figures

Answers

28000 is the answer.

you count two numbers from front and approximate

Multiply the rational expressions 2x^2 - 4x - 6 x^2 - 4 ——————- • ——————— x + 2 2x^2 + 2x

Answers

Answer:

C =(x-3)(x-2)/x

or

x²-5x+6/x

Step-by-step explanation:

2x^2 - 4x - 6/x + 2 * x^2 - 4/2x^2 + 2x

Factorizing the given factors

1) 2x^2 - 4x - 6

= 2x^2 - 6x+2x - 6

= 2x(x-3) +2(x-3)

= (x-3)(2x+2)

2) x^2 - 4

= (x+2) (x-2)

3) 2x^2 + 2x

= 2x( x+1)

Putting the factors

(x-3)(2x+2)/x + 2   *  (x+2) (x-2)/2x( x+1)

= (x-3)(2x+2) (x-2)/2x( x+1)

= 2(x-3)(x+1) (x-2)/2x( x+1)

=(x-3)(x-2)/x

Now multiply

(x-3)(x-2) =x²-5x+6

Then the answer becomes  x²-5x+6/x

Someone help me with this ASAP pls . I need to know “how do we know that <3~=<6

Answers

Answer:

Alternate Interior Angles

Step-by-step explanation:

They are alternate interior angles. The reason this works is because 4 is opposite to 3, meaning that 4 is equivalent to the value of (180-Angle3)

Meanwhile 6 is equivalent to (180-Angle5). Angle 5 is the same value is Angle 4.

6.
Determine the range of the following test scores.
History Test 2 Scores (out of 100)
95
92
89
88
85
85
84
80
78
73
72
72
70
68
67
62
59
52
40
32
a.
95
b.
32
72
c.
d.
63

Answers

Answer:

63 is the range of the following test scores.

Step-by-step explanation:

1. The largest number is 95.

2. The smallest number is 32.

3. The range is the difference between the largest and the smallest number.

4. Subtract 95 - 32 which equals 63.

5. 63 is the range of the following test scores.

CAN SOMEONE HELP ME WITH THIS PLEASE AND THANK YOU.

Answers

Answer: 3 7/12

Step-by-step explanation:

1. Solving the whole number

4-1=3

2. Solving the fraction parts

3/4 - 1/6=

Find the LCM. The LCM is 12 so we rewrite the factions like this:

9/12-2/12=7/12

3. Add.

3+ 7/12= 3 7/12

Hey there!

4 3/4 - 1 1/6

= 19/4 - 7/6

= (19 × 6) - (7 × 4) / 4 × 6

19 × 6 = 114

7 × 4 = 28

= 114 - 28 / 4 × 6

4 × 6 = 24

114 - 28 / 24

114 - 28 = 86

= 86/24

= 3 7/12

Answer: 86/24 OR 3 7/12

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

test the validity of these statement "if my brother stands first in the class, i give him a watch . Either he stood first or I was out of the station I did not give my brother a watch this time . Therefore I was out of station.

Answers

Answer: yeah looks logically correct

Step-by-step explanation: I he got the watch he was 1st

Fact is he didn't get the watch therefore he wasn't first

Therefore 2nd holds true also - if not first then not in station

No watch = not in station

PLEASE HELP IM LITERALLY BEGGING YOU

Amanda pays $115.00 for shoes
that are 20% off at Everything Shoes.
At Best Footwear, the same shoes
are 15% off, which makes them cost
$7.00 less than their pre-sale price at
Everything Shoes.
What was the original cost for the
shoes at Best Footwear?

Answers

Answer:

Step-by-step explanation:

Everything Shoes:

E * 0.8 = 115

E = 115/.8 = $143.75

~~~~~~~~~~~~~~~~

B * 0.15 = 7

B = 7/.15

B = $46.67

Solve.
5. The graph of f(x)= x is reflected across the x-axis. The graph is then
translated 11 units up and 7 units to the left. Write the equation of the
transformed function.

Answers

Given:

The function is:

[tex]f(x)=x[/tex]

The graph of this function reflected across the x-axis. The graph is then  translated 11 units up and 7 units to the left.

To find:

The equation of the transformed function.

Solution:

The translation is defined as

[tex]g(x)=kf(x+a)+b[/tex]                .... (i)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.

If k<0, then the graph is reflected across the x-axis.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

The graph of this function reflected across the x-axis. The graph is then  translated 11 units up and 7 units to the left.  So, [tex]k=-1, b=11, a=7[/tex]. Putting these value in (i), we get

[tex]g(x)=(-1)f(x+7)+11[/tex]

[tex]g(x)=-(x+7)+11[/tex]                     [tex][\because f(x)=x][/tex]

[tex]g(x)=-x-7+11[/tex]

[tex]g(x)=-x+4[/tex]

Therefore, the required function is [tex]g(x)=-x+4[/tex].

Please help me‼️
Question: select all the equations that can be represented by a straight line when graphed on the coordinate plane

Answers

Answer:

B, D, E

Step-by-step explanation:

Straight line equation is in the form of:

ax + by = c

Lets verify the options:

A- no, simplified, it is 1 + xy = 9xB- yesC- no, because of y²D- yesE- yesF - no, simplified it is a quadratic equation

I’m struggling in finding the nearest cent, May you please help me

Answers

Answer:

$88.48

Step-by-step explanation:

First, we can check the formula for compound interest, which is

[tex]A = P (1 + r)^{n}[/tex] , with A representing the end amount, r representing the interest rate, and n representing the amount of times compounded. We know that the interest rate is 9% (to convert this to a decimal, we can divide it by 100, resulting in 0.09), the end amount is 700, and the amount of times compounded is however many months are in 2 years (there are 12 months per year, and 12 *2 = 24, so 24 times).

Thus, our equation is

[tex]700 = P (1 + 0.09)^{24}\\700 = P (7.911083)\\[/tex]

Divide both sides by 7.911083 to isolate P, and we get

P = 88.48 (rounded to the nearest cent)

Please help me.

The table below represents the closing prices of stock ABC for the last five
days. Using your calculator, what is the equation of linear regression that fits
these data?

Answers

Answer:

Step-by-step explanation:

I can tell you how to do this on your calculator, but I have no idea what kind of calculator you have and the methods are different for the various TI graphing calculators, so I'll just tell you that your answer is the last choice given. It's a terrible fit, but if the instructions say linear, the last choice is the equation that the calculator gives.

The regression equation for Y is: ŷ = -0.223X + 20.523

What is Linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Sum of X = 15

Sum of Y = 99.27

Mean X = 3

Mean Y = 19.854

The sum of squares (SSX) = 10

The sum of products (SP) = -2.23

Regression Equation = ŷ = bX + a

b = SP/SSₓ = -2.23/10 = -0.223

a = My - bMₓ = 19.85 - (-0.22*3) = 20.523

ŷ = -0.223X + 20.523

Learn more about Linear equations here:

https://brainly.com/question/11897796

#SPJ5

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