Understanding Slope and Intercept in Real-World Functions

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 a linear function to represent the total cost (C) in terms of miles driven (m). What is the slope and what does it represent in this context?
C(m) = 50 + 0.10m; Slope = 0.10 (cost per mile)
C(m) = 50 + 0.20m; Slope = 50 (cost per mile)
C(m) = 50 + 0.20m; Slope = 0.20 (cost per mile)
C(m) = 50 + 0.50m; Slope = 0.50 (cost per mile)
Tags
CCSS.HSF.LE.B.5
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A gym charges a monthly membership fee of $30 and an additional $5 for each class attended. If you attend 10 classes in a month, what is the total cost? Write the linear function and identify the y-intercept.
$50
$100
$60
The total cost is $80.
Tags
CCSS.HSF.LE.B.5
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A school is selling tickets for a play. The tickets cost $8 each, and there is a fixed cost of $100 for the venue. Write a linear equation to represent the total revenue (R) from ticket sales based on the number of tickets sold (t). What does the slope represent?
R = 8t + 100
R = 8t
R = 8t - 100
R = 100t - 8
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. If you send 150 text messages in a month, how much will your bill be? Write the linear function and calculate the total cost.
$60
$50
$45
$55
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A delivery service charges a base fee of $15 plus $2 for each mile driven. Write a linear equation for the total charge (C) based on the distance (d) in miles. What does the y-intercept represent in this scenario?
C = 2d; The y-intercept represents the delivery fee per mile.
C = 15 + d; The y-intercept represents the cost of delivery without any miles driven.
C = 15d + 2; The y-intercept represents the total cost for 1 mile.
C = 15 + 2d; The y-intercept represents the base fee of $15.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A local bakery sells cupcakes for $3 each and has a fixed cost of $50 for ingredients. Write a linear function to represent the total sales (S) based on the number of cupcakes sold (c). What is the slope and what does it indicate?
The slope is 3, indicating that each cupcake sold increases total sales by $3.
The slope is 50, indicating that the total sales are fixed regardless of cupcakes sold.
The slope is 0, indicating that selling cupcakes does not affect total sales.
The slope is 5, indicating that each cupcake sold decreases total sales by $5.
Tags
CCSS.HSF.LE.B.5
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A taxi company charges a flat rate of $2.50 plus $1.50 per mile. If you take a ride that is 5 miles long, how much will it cost? Write the linear function and interpret the slope.
$7.50
$12.50
$15.00
$10.00
Tags
CCSS.HSF.LE.B.5
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