A car rental company charges a flat fee of $20 plus $0.15 per mile driven. Write a linear equation to represent the total cost (C) in terms of miles driven (m). What is the slope and what does it represent in this context?
Linear Functions: Exploring Slope and Intercept in Costs

Quiz
•
English, Mathematics
•
8th Grade
•
Hard
Anthony Clark
FREE Resource
9 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
C = 20 + 0.20m; Slope = 0.20 (cost per mile)
C = 20 + 0.15m; Slope = 0.15 (cost per mile)
C = 20 + 0.10m; Slope = 0.10 (cost per mile)
C = 15 + 0.15m; Slope = 0.15 (base fee)
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If a store sells notebooks for $2 each and charges a $5 service fee, write the linear equation for the total cost (C) in terms of the number of notebooks (n). What is the y-intercept and what does it signify?
C = 2n + 5; y-intercept = 5, signifies the service fee.
C = 3n + 5; y-intercept = 5, signifies the total cost.
C = 2n; y-intercept = 0, signifies no service fee.
C = 2n + 10; y-intercept = 10, signifies a discount.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A gym charges a monthly membership fee of $30 plus $10 for each class attended. Write the equation for the total cost (C) based on the number of classes (c) attended. How much would it cost to attend 5 classes?
$50
$80
$60
$100
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A phone plan costs $25 per month plus $0.10 per text message. Write the equation for the total cost (C) based on the number of text messages (t) sent. What does the slope represent?
C = 25 + 0.10t; the slope represents the cost per text message.
C = 25 + 0.05t; the slope represents the number of text messages.
C = 0.10 + 25t; the slope represents the monthly fee.
C = 25t + 0.10; the slope represents the total cost.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A gardener charges a flat fee of $50 for a service plus $15 per hour of work. Write the equation for the total cost (C) in terms of hours worked (h). If the total cost is $95, how many hours did the gardener work?
3
2
4
1
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A delivery service charges $5 for the first mile and $1.50 for each additional mile. Write the equation for the total cost (C) based on the number of miles (m) driven. What is the slope and what does it represent?
C = 3.5m + 5; slope = 3.5, representing the cost for the first mile.
C = 5m + 1.5; slope = 5, representing the total cost per mile.
C = 1.5m + 5; slope = 1.5, representing the initial fee.
C = 1.5m + 3.5; slope = 1.5, representing the cost per additional mile.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A subscription service costs $10 per month plus $2 for each additional feature. Write the equation for the total cost (C) in terms of the number of features (f). If a customer pays $20, how many features did they choose?
3
7
5
10
8.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A concert ticket costs $50 plus a $5 processing fee. Write the equation for the total cost (C) in terms of the number of tickets (t). What does the y-intercept represent in this scenario?
C = 55t; y-intercept represents the total cost of one ticket.
C = 50t + 10; y-intercept represents the total cost of two tickets.
C = 50t + 5; y-intercept represents the processing fee of $5.
C = 45t + 5; y-intercept represents a discount on the processing fee.
9.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A school sells tickets for a play at $8 each and charges a $2 fee for processing. Write the equation for the total cost (C) in terms of the number of tickets (t). If a family buys 4 tickets, what is the total cost?
$40
$30
$34
$28
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