Understanding Slope and Intercept in Word Problems

Quiz
•
English, Mathematics
•
8th Grade
•
Hard
Standards-aligned
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. Write the equation for the total cost (C) in terms of miles driven (m). What is the slope and y-intercept of this equation?
Slope: 0.20, Y-intercept: 50
Slope: 0.10, Y-intercept: 50
Slope: 0.50, Y-intercept: 20
Slope: 50, Y-intercept: 0.20
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A gym charges a monthly membership fee of $30 and an additional $5 per class attended. Write the equation for the total cost (C) in terms of classes attended (c). Identify the slope and y-intercept.
C = 30 + 5c; Slope: 5, Y-intercept: 30
C = 30 + 10c; Slope: 10, Y-intercept: 30
C = 30 + 2c; Slope: 2, Y-intercept: 30
C = 25 + 5c; Slope: 5, Y-intercept: 25
Tags
CCSS.HSF.LE.B.5
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Two friends are saving money to buy a video game. Friend A saves $10 a week, while Friend B saves $15 a week. Write the equations for the total savings of each friend after w weeks. What are the slopes and y-intercepts of both equations?
Friend A: slope = 10, y-intercept = 5; Friend B: slope = 15, y-intercept = 5
Friend A: slope = 5, y-intercept = 0; Friend B: slope = 10, y-intercept = 0
Friend A: slope = 20, y-intercept = 0; Friend B: slope = 15, y-intercept = 10
Friend A: slope = 10, y-intercept = 0; Friend B: slope = 15, y-intercept = 0
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A phone company offers a plan that costs $40 per month plus $0.10 per text message sent. Write the equation for the total cost (C) in terms of text messages (t). Identify the slope and y-intercept.
C = 40 + 0.05t; Slope: 0.05, Y-intercept: 40
C = 40 + 0.10t; Slope: 0.10, Y-intercept: 40
C = 0.10 + 40t; Slope: 40, Y-intercept: 0.10
C = 40t + 0.10; Slope: 40, Y-intercept: 0.10
Tags
CCSS.HSF.LE.B.5
5.
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) in terms of the number of tickets sold (n). What is the slope and y-intercept?
R = 8n; Slope: 8, Y-intercept: 0
R = 50n + 8; Slope: 50, Y-intercept: 8
R = 8n + 50; Slope: 8, Y-intercept: 50
R = 10n + 50; Slope: 10, Y-intercept: 50
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A delivery service charges a base fee of $15 plus $2 per mile. Write the equation for the total charge (C) in terms of miles (m). Identify the slope and y-intercept of this equation.
C = 15 + 1.5m; slope = 1.5, y-intercept = 15
C = 10 + 2m; slope = 2, y-intercept = 10
C = 15 + 2m; slope = 2, y-intercept = 15
C = 15 + 3m; slope = 3, y-intercept = 15
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A local bakery sells cupcakes for $3 each and has a fixed cost of $20 for ingredients. Write the equation for the total cost (C) in terms of the number of cupcakes (c). What are the slope and y-intercept?
C = 5c + 15; Slope: 5, Y-intercept: 15
C = 2c + 20; Slope: 2, Y-intercept: 20
C = 3c + 20; Slope: 3, Y-intercept: 20
C = 3c + 10; Slope: 3, Y-intercept: 10
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