Exploring Slope & Intercept in Real-Life Linear Costs
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 $50 plus $0.20 per mile driven. Write the linear equation that represents the total cost (C) in terms of miles driven (m). Identify the slope and y-intercept.
C = 50 + 0.50m; slope = 0.50; y-intercept = 50
C = 50 + 0.20m; slope = 50; y-intercept = 0
C = 100 + 0.20m; slope = 0.20; y-intercept = 100
C = 50 + 0.20m; slope = 0.20; y-intercept = 50
Tags
CCSS.HSF.LE.B.5
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A local gym charges a monthly membership fee of $30 and an additional $5 for each fitness class attended. Write the equation for the total cost (C) based on the number of classes (c) attended. What do the slope and intercept represent?
C = 5 + 30c
C = 30 + 5c
C = 30c + 5
C = 30 - 5c
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A phone company offers a plan that costs $40 per month plus $0.10 per text message. Write the equation for the total monthly cost (C) based on the number of text messages (t) sent. Identify the slope and intercept.
C = 40t + 0.10; slope = 40, intercept = 0.10
C = 0.10 + 40t; slope = 40, intercept = 0.10
C = 40 + 0.05t; slope = 0.05, intercept = 40
C = 40 + 0.10t; slope = 0.10, intercept = 40
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A delivery service charges a base fee of $25 plus $1.50 for each mile driven. Write the linear equation for the total delivery cost (C) based on the distance (d) in miles. What do the slope and intercept represent in this context?
C = 20 + 1.5d
C = 25 + 1.5d
C = 30 + 1d
C = 25 + 2d
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A concert venue sells tickets for $50 each and has a fixed cost of $2000 for the event. Write the equation for the total revenue (R) based on the number of tickets sold (t). Identify the slope and intercept of this equation.
R = 50t - 2000; slope = 50, intercept = -2000
R = 50t; slope = 50, intercept = 0
R = 50t + 2000; slope = 2000, intercept = 50
R = 2000 + 50t; slope = 50, intercept = 2000
Tags
CCSS.HSF.LE.B.5
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A bakery sells cupcakes for $3 each and has a daily fixed cost of $100. Write the linear equation for the total cost (C) based on the number of cupcakes (c) sold. What do the slope and intercept indicate?
C = 3c - 100
C = 3c + 100
C = 100c + 3
C = 5c + 100
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A taxi service charges a flat rate of $2.50 plus $0.75 per mile. Write the equation for the total fare (F) based on the number of miles (m) driven. Identify the slope and intercept of this equation.
F = 2.50 + 0.75m; Slope: 0.75, Intercept: 2.50
F = 2.50 - 0.75m; Slope: -0.75, Intercept: 2.50
F = 0.75 + 2.50m; Slope: 2.50, Intercept: 0.75
F = 2.50 + 1.00m; Slope: 1.00, Intercept: 2.50
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