
Slope and Y-Intercept: Real-World Math Challenges
Authored by Anthony Clark
English, Mathematics
8th Grade
CCSS covered

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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
1. A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write the equation for the total cost (C) in terms of miles driven (m). What is the slope and what does it represent in this context?
C = 50m + 0.20; Slope = 50 (total cost)
C = 50 + 0.20m; Slope = 0.20 (cost per mile driven)
C = 0.20 + 50m; Slope = 50 (miles driven)
C = 50 + 0.50m; Slope = 0.50 (cost per mile driven)
Tags
CCSS.HSF.LE.B.5
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
2. The equation of a line representing the temperature (T) in degrees Fahrenheit over time (h) is T = 5h + 32. Identify the slope and explain what it indicates about the temperature change per hour.
The slope is 10, indicating a temperature increase of 10 degrees Fahrenheit per hour.
The slope is 5, indicating a temperature increase of 5 degrees Fahrenheit per hour.
The slope is -5, indicating a temperature decrease of 5 degrees Fahrenheit per hour.
The slope is 0, indicating no change in temperature over time.
Tags
CCSS.HSF.LE.B.5
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
3. A local gym charges a monthly membership fee of $30 plus $10 for each class attended. If you graph the total cost (C) against the number of classes (n), what is the y-intercept and what does it represent?
40
10
$30 plus $5 per class
30
Tags
CCSS.8.EE.B.5
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
4. The line representing the distance (d) a cyclist travels over time (t) is given by the equation d = 15t + 5. What is the slope, and what does it tell you about the cyclist's speed?
The slope is 15, indicating the cyclist's speed is 20 units per time unit.
The slope is 5, indicating the cyclist's speed is 5 units per time unit.
The slope is 10, indicating the cyclist's speed is 10 units per time unit.
The slope is 15, indicating the cyclist's speed is 15 units per time unit.
Tags
CCSS.HSF.LE.B.5
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
5. A store sells notebooks for $2 each and charges a $5 service fee. Write the equation for the total cost (C) in terms of the number of notebooks (n). What is the y-intercept and its significance?
C = 3n + 5; y-intercept = 5, significance: cost when buying three notebooks.
C = 2n + 10; y-intercept = 10, significance: cost when no notebooks are purchased.
C = 2n + 0; y-intercept = 0, significance: cost when one notebook is purchased.
C = 2n + 5; y-intercept = 5, significance: cost when no notebooks are purchased.
Tags
CCSS.HSF.LE.B.5
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
6. The graph of a line shows that when the number of hours worked (h) is 0, the earnings (E) are $100. If the slope of the line is $15 per hour, write the equation for earnings in terms of hours worked. What does the slope represent?
E = 10h + 100; The slope represents the total earnings.
E = 20h + 50; The slope represents the fixed costs per hour.
E = 15h - 100; The slope represents the initial investment.
E = 15h + 100; The slope represents the earnings increase per hour worked.
Tags
CCSS.HSF.LE.B.5
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
7. A taxi company charges a base fare of $3 plus $2 per mile. If you were to graph the total fare (F) against the number of miles (m), what is the slope and what does it represent?
The slope is 3, representing the base fare.
The slope is 2, representing the cost per mile.
The slope is 1, representing the total fare.
The slope is 4, representing the cost per mile.
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