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Real-World Functions: Slope and Intercept Adventures

Authored by Anthony Clark

English, Mathematics

8th Grade

CCSS covered

Real-World Functions: Slope and Intercept Adventures
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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write a function to represent the total cost, and find the cost if a customer drives 150 miles. What is the slope and intercept of this function?

The total cost for driving 150 miles is $100. The slope is 0.50 and the intercept is 50.

The total cost for driving 150 miles is $70. The slope is 0.20 and the intercept is 0.

The total cost for driving 150 miles is $90. The slope is 0.30 and the intercept is 50.

The total cost for driving 150 miles is $80. The slope is 0.20 and the intercept is 50.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A gym charges a monthly membership fee of $30 and an additional $5 for each class attended. Write a linear equation for the total cost based on the number of classes attended. What does the slope represent in this context?

C = 30 + 5x; the slope represents the total number of classes.

C = 30 + 10x; the slope represents the total cost of membership.

C = 30 + 5x; the slope represents the cost per class attended.

C = 30 + 2x; the slope represents the number of classes attended.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A phone plan costs $40 per month plus $0.10 for each text message sent. If a customer sends 200 messages in a month, how much will they pay? Write the function and identify the slope and y-intercept.

$70

$80

$50

$60

Tags

CCSS.HSF.LE.B.5

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A store sells notebooks for $2 each and has a one-time membership fee of $10. Write a function to represent the total cost of notebooks purchased. What is the slope of this function?

$10

2

$5

$1

Tags

CCSS.HSF.LE.B.5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A delivery service charges a base fee of $15 plus $1.50 per mile. Write a linear equation for the total cost of a delivery that is 'x' miles away. What does the slope indicate about the cost?

C(x) = 15 + 1.5x

C(x) = 15 + 0.5x

C(x) = 10 + 1.5x

C(x) = 15 + 2x

Tags

CCSS.HSF.LE.B.5

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A local theater sells tickets for $12 each and has a $5 service fee. Write a function to represent the total cost of 'n' tickets. What is the y-intercept of this function?

7

5

10

0

Tags

CCSS.HSF.LE.B.5

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A landscaping company charges a flat rate of $100 for a service plus $25 for each hour of work. Write a linear equation for the total cost based on hours worked. What does the slope represent?

C = 100 + 15h; the slope represents the total cost.

C = 100 + 30h; the slope represents the discount per hour.

C = 100 + 25h; the slope represents the cost per hour of work.

C = 50 + 25h; the slope represents the initial fee.

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