Analyzing Costs: Slope and Intercept in Real-World Problems

Analyzing Costs: Slope and Intercept in Real-World Problems

8th Grade

10 Qs

quiz-placeholder

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Analyzing Costs: Slope and Intercept in Real-World Problems

Analyzing Costs: Slope and Intercept in Real-World Problems

Assessment

Quiz

English, Mathematics

8th Grade

Hard

CCSS
HSF.LE.B.5, HSF-IF.C.7E, 8.EE.B.5

Standards-aligned

Created by

Anthony Clark

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If the total cost is represented by the equation C = 50 + 0.2m, where C is the cost and m is the miles driven, what is the slope of the line?

0.10

0.2

1.0

0.5

Tags

CCSS.HSF.LE.B.5

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A scientist is studying the growth of bacteria, which doubles every hour. If the number of bacteria after t hours is represented by the equation N = N0 * 2^t, where N0 is the initial number, how does the graph of this equation behave?

The graph exhibits exponential growth, increasing steeply over time.

The graph oscillates between increasing and decreasing.

The graph decreases steadily over time.

The graph remains constant over time.

Tags

CCSS.HSF-IF.C.7E

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A phone company offers a plan that costs $30 per month plus $0.10 per text message. Write the equation for the total cost C in terms of the number of text messages m. What is the y-intercept of this equation?

$10

30

$0

$50

Tags

CCSS.8.EE.B.5

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A store sells a product for $20, and the price decreases by $2 for every 10 units sold. Write the equation for the price P in terms of the number of units sold x. What does the slope represent in this context?

P = 20 - 0.2x; the slope represents the decrease in price per unit sold.

P = 20 + 0.2x; the slope represents the increase in price per unit sold.

P = 20 - 2x; the slope represents the total price decrease after selling units.

P = 18 - 0.5x; the slope represents the total price after selling units.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A population of fish in a lake is modeled by the equation P = 1000/(1 + 9e^(-0.1t)), where P is the population and t is time in years. What does the slope of the tangent line at t = 5 indicate about the population growth?

The slope of the tangent line at t = 5 indicates the rate of population growth at that time.

The slope of the tangent line at t = 5 represents the average population over the last 5 years.

The slope of the tangent line at t = 5 indicates the maximum population capacity of the lake.

The slope of the tangent line at t = 5 shows the total population at that time.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A gym charges a membership fee of $40 plus $5 for each class attended. If the total cost is represented by the equation C = 40 + 5c, where C is the cost and c is the number of classes, what is the slope and what does it represent?

The slope is 5, representing the cost per class attended.

The slope is 10, representing the cost of two classes attended.

The slope is 5, representing the total cost of all classes.

The slope is 40, representing the total membership fee.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A delivery service charges a base fee of $15 plus $0.50 per mile. If the total cost is represented by the equation C = 15 + 0.5d, where d is the distance in miles, what is the y-intercept and what does it signify?

$0

$30

$10

15

Tags

CCSS.HSF.LE.B.5

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