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Mastering Linear Equations: Graph Features & Word Problems

Authored by Anthony Clark

English, Mathematics

8th Grade

CCSS covered

Mastering Linear Equations: Graph Features & Word Problems
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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 $20 for each day the car is rented. Write the equation that represents the total cost (C) as a function of the number of days (d) rented. What is the slope of the line, and what does it represent in this context?

C = 50 + 30d; slope = 30

C = 50 + 10d; slope = 10

C = 20 + 50d; slope = 50

C = 50 + 20d; slope = 20

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A local gym has a membership fee of $30 and charges $10 per class attended. If you graph the total cost (C) as a function of the number of classes (c) attended, what is the y-intercept and what does it signify?

30

10

0

40

Tags

CCSS.8.EE.B.5

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A school is selling tickets for a play. The tickets cost $8 each, and there is a one-time fee of $50 for the venue. Write the equation for the total revenue (R) as a function of the number of tickets sold (t). How would you interpret the slope of this equation?

R(t) = 8t + 50

R(t) = 50 + 8t^2

R(t) = 50t + 8

R(t) = 8t - 50

Tags

CCSS.HSF-BF.A.1A

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A delivery service charges a base fee of $15 plus $2 for each mile driven. If you graph the total charge (C) against the number of miles (m), what does the point (0, 15) represent?

The total charge when 10 miles are driven.

The total charge when 5 miles are driven.

The base fee of the delivery service.

The total charge when no miles are driven.

Tags

CCSS.HSF.LE.B.5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A farmer sells apples for $3 per pound and has a fixed cost of $20 for packaging. Write the equation for the total revenue (R) based on the pounds of apples sold (p). How can you determine the total revenue if 10 pounds are sold?

$20

$15

$40

$30

Tags

CCSS.HSF-BF.A.1A

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A phone company offers a plan that costs $40 per month plus $0.10 for each minute used. If you graph the total cost (C) against the number of minutes (m), what does the slope represent?

The slope represents the total monthly cost of the plan.

The slope represents the fixed cost of the plan, which is $40.

The slope represents the number of minutes used in the month.

The slope represents the cost per minute, which is $0.10.

Tags

CCSS.HSF.LE.B.5

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A bookstore sells notebooks for $5 each and has a fixed cost of $100 for supplies. Write the equation for the total cost (C) as a function of the number of notebooks (n) sold. How would you find the total cost if 20 notebooks are sold?

200

150

300

250

Tags

CCSS.HSF-BF.A.1A

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