Determine the slope and y-intercept of the linear function represented by the following scenario: Brooke and her friends decide to go bowling. The cost for the group is $15 for shoe rentals plus $4.00 per game.
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the y-intercept is 15 because it is the price to just go without anything
I’m not good at explaining but hope this helps!!
The equation is btw
y=4x+15
The slope of the given scenario will be 4.
The y - intercept of the given scenario will be 15.
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The cost for the group is $15 for shoe rentals plus $4.00 per game.
Now,
Let number of games = x
And, Total cost of the bowling's = y
Here, The cost for the group is $15 for shoe rentals plus $4.00 per game.
So, We can formulate;
⇒ y = $4.00x + $15
⇒ y = 4x + 15
Compare with the standard form of equation of line y = mx + c, we get;
⇒ Slope = 4
And, The y - intercept = 15
Thus, The slope of the given scenario will be 4.
The y - intercept of the given scenario will be 15.
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Related Questions
Find the slope
X: 1, 5, 9, 13
Y: 1, 17, 33, 49
Answers
Answer:
Step-by-step explanation:
Givens
Take any two points (9,33) and (5,17)
Use the slope formula to determine what the slope might be
m = (y2 - y1)/(x2 - x1)
y2 = 33
y1 = 17
x2 = 9
x1 = 5
Solution
m = (33 -17) / (9 - 5)
m = 16/4
m = 4
Extra
Use 5,17 to get the y intercept
x = 5
y = 17
y = 4x + b
x = 5
y = 17
Use the general equation for a line: y = 4x + b and solve for b
17 = 4*5 + b
17 = 20 + b
b = - 3
So the line equation is y = 4x - 3
I did this extra work because I did not believe that 1,1 could be a solution for this equation given the other numbers. Turns out I was wrong. y = 4x - 3 has all 4 points on the line.
Can someone help? Show work
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Let c = hypotenuse
a = one of the legs of the triangle
b = the other leg of the triangle
Use the Pythagorean Theorem to solve for the measure of the hypotenuse:
c^ 2 = a^2 + b^2
c^ 2 = (4)^2 + (4)^2
c^ 2 = 16 + 16
c^2 = 32
Next, take the square root of each side of the equation to solve for c:
√(c^2) = √(32)
c = 4√(2)
Therefore, the correct answer is Option 3) 4√(2).
can someone help
me on one of these please!
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Rearrange to make x the subject
4(x-3) =y
pls help
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what’s 4x+9-x-3x=9 ?
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Answer:
x=0
Step-by-step explanation:
4x+9-x-3x=9
4x-x-3x=9-9
0x=0
x=0
What is the period of y=2cos(3x-2(3.14))?
A. 3(3.14)
B. 6(3.14)
C. 3(3.14)-2
D. 3(3.14)/3
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Answer:
the correct answer is B
Step-by-step explanation:
I got it correct on 2021 edge
help!! show all steps!
Find SURFACE AREA
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Answer:
132 cm²
Step-by-step explanation:
The area of the two triangular ends is ...
A = 2(1/2)(bh) = (4 cm)(3 cm) = 12 cm² . . . . . area of both triangles
The area of the three rectangular faces is ...
A = (b1)(h) +(b2)(h) +(b3)(h) = (b1 +b2 +b3)(h)
= (4 cm +3 cm +5 cm)(10 cm) = 120 cm²
Then the total surface area is ...
triangle area + rectangle area = (12 cm²) +(120 cm²) = 132 cm²
Pizza House offers 3 different salads, 7 different kinds of pizza, and 4 different desserts. How many different three-course meals can be ordered?
Answers
In a company, the ratio of the number of men to the number of women is 3:2 40% of the men are under the age of 25 10% of the women are under the age of 25 What percentage of all the people in the company are under the age of 25? %
Answers
Answer: Percentage of all the people in the company are under the age of 25=x
Step-by-step explanation:
We have to use the weighted average.
x=(Σwi * vi )/Σ wi
w₁=3
w₂=2
v₁=40%
v₂=10%
x=[3(40%)+2(25%)] / (3+2)=34%
Solution: 34% of all people in the company are under the age of 25.
(Pythagorean theorem) find the missing side length. Round to the nearest hundredth (show steps)
Answers
Answer:
The length of the missing side is 7.5
Step-by-step explanation:
let the missing side be x
[tex] {9.9}^{2} = {6.5}^{2} + {x}^{2} [/tex]
98.01 = 42.25 + x^2
x^2 = 98.01 - 42.25
x^2 = 55.76
[tex] \sqrt{x {}^{2} } = \sqrt{55.76} [/tex]
x = 7.5 or 7.47
which year in the 18th century was a perfect square
Answers
Answer:
THE dates dec. 6 1729, and june 4 1764 were the only two perfect square dates in the 18th century
The student council at Greenwood High School is making T-shirts to sell for a fundraiser, at a price of $19 apiece. The costs, meanwhile, are $8 per shirt, plus a setup fee of $88. Selling a certain number of shirts will allow the student council to cover their costs. What will the costs be? How many shirts must be sold?
Answers
Answer:
19-8=11,11*n>=88,n>=8 ，8*119-8=11,11*n>=88,n>=8 9=152
Step-by-step explanation:
Unit price - cost = unit profit
When unit profit * quantity > = Installation cost, achieve positive profit
8th Grade Math
Janelle is saving $6 per week to buy a new bike. she has $85 on week five. How do you write this in slope intercept form?
Answers
X-axis weeks
Slope change in y-axis/x-axis
If at week 5 she has 85
85=6(5)+C
C=55
Y=6x+55
The perimeter of a rectangle is 78 units. The length is 5 units more than the width. Find the length.
Answers
Answer:
W = 8.5 units; L = 30.5 units
Step-by-step explanation:
The formula for the perimeter of a rectangle is P = 2L and 2W, where L and W represent the length and the width respectively. Here, L = 3W + 5. Adapting the formula P = 2L and 2W, we get: 78 = 2L + 2W = 2(3W + 5) + 2W, or 6W + 10 + 2W = 78, or 8W = 68, or W = 68/8 = 8.5 units If W = 8.5 units, then L = 3(8.5 units) + 5 units = 30.5 units
What percent of the bottle of apple juice is water?
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percent of water is: 32/80*100= 40%
6. Five more than eight times a number is greater than four less than
seven times the number. Write an inequality to represent this relationship.
Then solve the inequality. *
Answers
8x+5 > 7x -4
X+5> -4
X> -9
Answer:
8x + 5 > 7x - 4
x > -9
Step-by-step explanation:
Five more than eight times a number
8x + 5
is greater than
>
four less than seven times the number
7x - 4
All together:
8x + 5 > 7x - 4
-------------------------------
Solve:
Subtract 7x from both sides
x + 5 > -4
Subtract 5 from both sides
x > -9
Please Answer this (mathematics)
Answers
Answer:
50.21, 50.12, 50.102,50.021
the last one
Step-by-step explanation:
sorted into descending order
work out the size of angle x
Answers
Answer:
66 degrees
Step-by-step explanation:
All angles together equal 180.
79 + 35 = 114
180 - 114 = 66
or
180 - (79 + 35) = 66
I hope that this helps!
x-40+9x-5 simplified
Answers
Answer:
your answer would be 10x-45
Step-by-step explanation:
1. A shopkeeper buys a stove from a manufacturer. The shopkeeper sells the stove for $2700 at a profit of 25%.
(a) What is the cost price of the stove to the shopkeeper from the manufacturer? (4 marks)
(b) If the shopkeeper gives a 15% discount for cash, how much money does a customer pay for the stove?
Answers
Answer:
a.divide the amount by the percentage.
$2700× 25%
Ans:$675
subtract the selling price from the profit.
$2700 - $675
Ans:$2025
b.divide the 15% from selling price.
$2700 × 15%
Ans: 405
deduct the selling from from the discount given.
$2700 - $405
Ans: $2,295
Cost $95 markup rate: 50%
PLS ANSWER THIS WITH AN EXPLANTION AND THE ANSWER 10 POINTS *PLS I NEED AN EXPLANTION (DONT ASK WHY THIS IS IN ALL CAPS) *ITS IN ALL CAPS SO YOU GUYS A SEE THIS CLEARLY*
Answers
answer please!!!!!!!!!!!!!!!!!
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The 4th grade class met their goal of reading of certain amount of hours during the fall. They earned their skiing trip this winter sponsored by the parent-Teacher organization. if each ski ticket costs $28 and there are 86 fourth grades, how much does PTO need to pay for the tickets?
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Answer:
$2408.
Step-by-step explanation:
28 * 86
Find the length of the third side. If necessary, round to the nearest tenth.
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Please help make sure to show your steps too, please
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Answer:
Slope = -2
Step-by-step explanation:
Given the two points, (-4, 10) and (0, 2), the error in the given problem is the incorrect substitution of values into the formula. It should have been formatted as follows:
Let (x₁, y₁) = (-4, 10)
(x₂, y₂) = (0, 2)
The formula for solving for the slope of the line is:
m = (y₂ - y₁)/(x₂ - x₁)
where m represents the slope of the line.
Substitute the given values into the formula to solve for the slope:
m = (y₂ - y₁)/(x₂ - x₁)
[tex]m = \frac{2 - 10}{0 - (-4)}[/tex]
[tex]m = \frac{-8}{0 + 4 }[/tex]
m = -8/4
m = -2
Therefore, the slope of the line is -2.
MATHEMATICAL CONNECTIONS Use the given information to write and solve a system of linear equations to find the values of $x$x and y$y$y . The text reads triangle L M N is congruent to triangle P Q R, the measure of angle L equals 40 degrees, the measure of angle M equals 90 degrees, the measure of angle P equals left parenthesis 17 x minus y right parenthesis degrees, the measure of angle R equals left parenthesis 2 x plus 4 y right parenthesis degrees. The equations are is equal to 40$=\ 40$= 40 and is equal to 50$=\ 50$= 50 . Question 2 $x\ =$x = and $y\ =$y =
Answers
The value of x and y is 2 and 11.5
The sum of the interior angle of a triangle is 180 degrees.
Since LMN and PQR are similar, hence:
m<L = m<P
m<M = m<Q
m<N = m<R
Given the following parameters
m< L = 40 degrees
m<M = 90 degrees
m<P = 17x - y
m<R = 2x + 4y
Get the measure of m<N
m<M + m<N + m<L = 180
90n+ m<N + 40 = 180
m<N = 180 - 130
m<N = 50degrees
Since m<P = m<L, hence;
17x - y = 40 ....... 1
Also m<R = m<N
2x + 4y = 50 .......... 2
Solve simultaneously
17x - y = 40 ....... 1 * 4
2x + 4y = 50 .......... 2 * 1
___________________________
68x - 4y = 160
2x + 4y = 50
Adding both equations
68x + 2x = 160 + 50
70x = 210
x = 2
Substitute x = 3 into the equation 2x + 4y = 50
2(2) + 4y = 50
4 + 4y = 50
4y = 50 - 4
4y = 46
y = 46/4
y = 11.5
Hence the value of x and y is 2 and 11.5
Learn more here: https://brainly.com/question/15165519
What is 2x + 45?
Plz help, Wanna T.a.l.k?
Answers
Answer:
It is linear
Step-by-step explanation:
I don't know if you needed it graphed or what was needed to solve your question
GEOMETRY Find the the area of the polygon with the given vertices.
C(1,1) D(1,4)E(4,4)F(4,1)
pls give answer
worth 100
Answers
Answer:
sdd
Step-by-step explanation:
seds
Train A has a speed 35 miles per hour greater than that of train B. If train A travels 300 miles in the same times
train B travels 195 miles, what are the speeds of the two trains?
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Step-by-step explanation:
That's the answer! hope it helped!
Which of the following functions best describes this graph?
Answers
Answer:
c
Step-by-step explanation:
y=x2-5x+6
