The topology taxi company charges 2.60 for the first quarter of a mile and 0.36 for each additional fifth of a mile. Find a linear function which models the taxi fare F as a function of the number of miles driven m

Answers

Answer 1

Answer:

The piecewise function for the taxi fare is:

[tex]F(t) = 2.60\cdot \left(\frac {m}{0.25}\right) ,\, 0\,mi\le m \le 0.25\,mi[/tex]

[tex]F(t) = 2.60 + 0.36\cdot \left(\frac{m}{0.2} \right)[/tex], [tex]m > 0.25\,mi[/tex]

Step-by-step explanation:

We must use the following piecewise function:

(i) The Topology Taxi Company charges 2.60 for the first quarter of a mile:

[tex]F(t) = 2.60\cdot \left(\frac {m}{0.25}\right) ,\, 0\,mi\le m \le 0.25\,mi[/tex] (1)

Where:

[tex]F(t)[/tex] - Taxi fare, in monetary units.

[tex]m[/tex] - Number of miles driven, in miles.

(ii) And 0.36 for each additional fifth of a mile:

[tex]F(t) = 2.60 + 0.36\cdot \left(\frac{m}{0.2} \right)[/tex], [tex]m > 0.25\,mi[/tex] (2)


Related Questions

The graph below shows the path of a submarine


What is the range of this function?

a) 0
b)-300 ≤ y ≤ 0

c)0 ≤ y ≤ 80

d)-300

Answers

Answer:

b

Step-by-step explanation:

a submarine cant go above 0 and it shows on the graph the lowest it will go is -300

The mean numberr of stereos sold per day at the store was 15 over a period of 7 days which statement must be true about the stereo sales at the store

Answers

Answer:

well I don't know the options, but I do know that 105 would have been sold in a week.

Step-by-step explanation:

15 x 7 = 105

What value of x will make the equation below true?
14−(x+7)=3

Answers

14-x-7=3
7-x=3
-x=-4
x=4

Kenneth started saving for retirement at age 40 with plans to retire at age 70. He invested an average of $400 per month in various securities, with an average annual return of 7% adjusted for inflation. Assuming monthly compounding, how much has Kenneth saved at the start of retirement.
A. $487,988.40

B. $720,421.84

C. $37,784.31

D. $556,559.8​

Answers

Answer:

487,988.40

Step-by-step explanation:

I took the test

Could you guys help me please?​

Answers

Answer:

1: 115

2: 65

3: 115

4: 65

5: 143

6: 37

7: 28

8: 152

Lorenzo reads at a rate of 45 words per minute. If he reads at a constant rate, how many words can he read in 6 minutes?

Answers

Answer:

270

Step-by-step explanation:

45 * 6 = 270

help! i just need the answers. maybe some explanations would be good too :)

Answers

For Number one: -xy + 2x = 20, x = 5

To solve this, all we need to do is plugin 5 for every place we have x. So...

- (5)y + 2(5) = 20

-5y + 10 = 20

-5y = 10

y = -2

For number two: 4x - 3y - 10 = 1, x = -1

To solve this, we need to plugin -1 for all of the x variables. So...

4 (-1) - 3y - 10 = 1

-4 - 3y - 10 = 1

-14 - 3y = 1

-3y = 15

y = -5

For number three: 5x + 7y = -1, x = 4

We need to plugin -4 for all of the x variables. So...

5 (4) + 7y = -1

20 + 7y = -1

7y = -21

y = -3

For number four: x = 6 + xy, x = -3

Same as the other ones, just plugin -3 for all of the x variables. So...

-3 = 6 + (-3)y

-3 = 6 - 3y

-9 = -3y

3 = y

I hope this helps :)

Find the volume of the cylinder.
Either enter an exact answer in terms of T or use 3.14 for T.
8

Answers

Answer: V= 100.48 m^3 or in terms of Pi V = 32 π m^3

Step-by-step explanation:

V = πr^2h

V = π(2)^2(8)

V = π(4)(8)

V = 100.48

or

V = π (4)(8)

V = 32 π m^3

Who can solve and attach a pic so I can write down how I got the answer

Answers

do NOT click on that file! it’s a virus :( ^

3V3
х
60°
Find the values of x and y. Write your answers in simplest form.
X=
y=

Answers

Answer:

X=3

y=6

Step-by-step explanation:

[tex]tan60=\sqrt{3}=\frac{3\sqrt{3} }{x} \\\\x=3[/tex]

-----------

[tex]sin60=\frac{\sqrt{3} }{2} =\frac{3\sqrt{3} }{y} \\\\y=6[/tex]

hope it helps...

have a great day!!

please helpppppppppppppppp

Answers

Answer:is (4x-5)

Step-by-step explanation:

Answer: check your next period class

Step-by-step explanation:

your teacher is looking for you

I need help and fast

Answers

B it is B not c or a it is b

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Answers

The mean of the following set of fractions is D. 22/75

Answer:

22/75

Step-by-step explanation:

To find the average add up the values and divide the sum by the number of values.

Rewriting all values as fractions, rewriting any negatives if necessary and, setting up as an addition problem

=1/2+1/5+1/5+1/10+7/15

The least common denominator (LCD) is: 30.

Rewriting as equivalent fractions with the LCD:

=15/30+6/30+6/30+3/30+14/30

Rewriting numerators over the common denominator,

=15+6+6+3+1430

Totaling the numerator:

=44/30

Reducing the fraction:

=22/15

Dividing by the number of values: 5

22/15÷5=22/15×15=22/75

Average of the fractions is:

Average=22/75

A spinner is divided into blue, green, and red parts. George spins the spinner 300 times. A table of outcomes is shown. Based on this data, what is the estimated probability of the spinner landing on red?

A) 0.45
B) 0.50
C) 0.34
D) 0.23

blue:91
green:107
red:102

Answers

The estimated probability of the spinner landing on red is 0,34

help this is urgent!!!

Answers

c = pi times d so that would mean d divided by pi would be the diameter.

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i hope this helps

Hey guys!
Please help me out with these questions. Tmrw I have an exam... Will mark BRAINILIEST for the answer explaining proper steps. If I sound rude, please forgive me, I'm just stressed out.....

Thanks ​

Answers

Answer:

Step-by-step explanation:

Carrie is on Shark Tank and is offering 40% of her company for $100,000. What is the value of Carrie's company?

Answers

Answer:

I think the answer is $40,000

Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

6

Step-by-step explanation:

15 is 9 more hence you subtract 9 from15

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Tuesday Evaluate the Expression: Use PEMDAS. 80 - 42+8​

Answers

Answer:

30

Step-by-step explanation:

Using BODMAS

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Answers

Answer:

x= -1

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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The number line represents 1 unit. What is the distance from 0 to point C on the number line?
A) 5/2 units
B) 4/5 units
C) 3/10 units D) 4/10

Answers

4/10 Units. The number line is cut equally into 10 pieces. If you count correctly, you’ll find out point C is on the 4th spot (I couldn’t remember its name sorry)

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!

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Step-by-step explanation:

X = 10 (use pyth)

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A ball is dropped from a height of 180 meters. The height of the ball can be represented by
-5t2 + 180, in meters, when t represents the time in seconds since the ball was dropped.
Which expression represents the height of the ball In factored form?

A) -5(t+6)^2
B) -5(t-6)^2
C) -5(t+6)(t-6)
D) (5t-3)(80t+3)

Answers

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Please help, 15 points

Answers

Answer:

The answer is 10.

Step-by-step explanation:

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please help me asap ​

Answers

Answer:

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Step-by-step explanation:

theres some formula that tells you the general rule for multiplying 2x2 matrices but I cant find it, try looking in your textbook or ask ur teacher

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Answers

Answer:

3

Step-by-step explanation:

x/1= 9/3

solve to get 3

Answer:

X = 3

Step-by-step explanation:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

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