Slope-Intercept Equations: Real-World Cost Challenges
Authored by Anthony Clark
English, Mathematics
8th Grade
CCSS covered
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8 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A car rental company charges a flat fee of $20 plus $0.15 per mile driven. Write the slope-intercept equation for the total cost (C) in terms of miles driven (m). What does the slope represent in this context?
C = 20 + 0.10m; the slope is 0.10, representing the total cost.
C = 20 + 0.15m; the slope is 0.15, representing the cost per mile.
C = 15 + 0.15m; the slope is 0.15, representing the initial charge.
C = 20 + 0.25m; the slope is 0.25, representing the flat fee.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A delivery service charges a base fee of $5 plus $2 for each package delivered. Write the slope-intercept equation for the total charge (C) based on the number of packages (p). What does the slope indicate?
C = 5 + 2p + 1
C = 2p
C = 5p + 2
C = 2p + 5
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A phone plan costs $25 per month plus $0.10 per text message. Write the slope-intercept equation for the total cost (C) in terms of text messages (t). How would you interpret the slope?
C = 25 + 0.10t
C = 25 + 0.05t
C = 0.10 + 25t
C = 25t + 0.10
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A school is selling tickets for a play at $8 each, with a fixed cost of $50 for the venue. Write the slope-intercept equation for the total revenue (R) in terms of tickets sold (t). What does the slope represent?
R = 8t + 50
R = 50 + 8t
R = 8t - 50
R = 8t
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A subscription service charges $15 per month with an initial sign-up fee of $10. Write the slope-intercept equation for the total cost (C) in terms of months (m). What does the slope tell you about the cost?
C = 15m; The slope (15) represents the total cost without initial fees.
C = 10m + 15; The slope (10) indicates a one-time fee.
C = 20m + 5; The slope (20) shows a higher monthly cost.
C = 15m + 10; The slope (15) represents the monthly cost increase.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A local farmer sells apples for $2 each and has a fixed cost of $10 for supplies. Write the slope-intercept equation for the total sales (S) in terms of apples sold (a). How would you interpret the slope in this scenario?
S = 2a + 10
S = 10a - 2
S = 2a - 10
S = 2a + 2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A concert ticket costs $50 plus a service fee of $5. Write the slope-intercept equation for the total cost (C) in terms of tickets purchased (t). What does the slope represent in this context?
C = 5t + 50; slope = 5
C = 50t; slope = 0
C = 55t + 5; slope = 55
C = 50t + 5; slope = 50
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