Exploring Linear Functions: Slope and Intercept in Real Life

Quiz
•
English, Mathematics
•
8th Grade
•
Hard
Standards-aligned
Anthony Clark
FREE Resource
9 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A car rental company charges a flat fee of $30 plus $0.20 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?
C = 30 + 0.50m; Slope = 0.50 (cost per mile)
C = 30 + 0.10m; Slope = 0.10 (cost per mile)
C = 20 + 0.20m; Slope = 0.20 (base fee)
C = 30 + 0.20m; Slope = 0.20 (cost per mile)
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If you graph the equation from the previous problem, what is the y-intercept and what does it signify in the real-world scenario?
The y-intercept represents the maximum value of the scenario.
The y-intercept shows the final outcome of the scenario.
The y-intercept signifies the initial condition or starting point of the scenario being modeled.
The y-intercept indicates the slope of the graph.
Tags
CCSS.HSF-IF.C.7A
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A gym charges a monthly membership fee of $50 and an additional $10 for each class attended. Write the linear equation for the total cost (C) based on the number of classes (c) attended. What does the slope represent?
C = 10 + 50c; the slope represents the total number of classes attended.
C = 50 + 5c; the slope represents the discount per class attended.
C = 50c + 10; the slope represents the total cost of membership.
C = 50 + 10c; the slope represents the cost per class attended.
Tags
CCSS.HSF.LE.B.5
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Using the equation from the previous problem, if a member attends 5 classes, what will their total cost be? Graph the equation and identify the slope and y-intercept.
$100
$70
$30
$50
Tags
CCSS.8.EE.B.5
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A delivery service charges a base fee of $15 plus $2 for each package delivered. Create a linear equation for the total cost (C) based on the number of packages (p). What does the slope indicate?
C = 15 + 5p; the slope indicates the total cost of delivery.
C = 10 + 3p; the slope indicates the base fee of the service.
C = 20 + 2p; the slope indicates the number of packages delivered.
C = 15 + 2p; the slope indicates the cost per additional package delivered.
Tags
CCSS.HSF.LE.B.5
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If you were to graph the equation from the previous problem, what would the y-intercept represent?
The y-intercept represents the value of x when y is zero.
The y-intercept shows the slope of the line.
The y-intercept indicates the maximum value of y.
The y-intercept represents the value of y when x is zero.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A phone plan costs $25 per month plus $0.10 per text message sent. Write the linear equation for the total cost (C) based on the number of text messages (t). What is the slope and what does it represent?
C = 25 + 0.05t; Slope = 0.05
C = 25 + 0.20t; Slope = 0.20
C = 30 + 0.10t; Slope = 0.10
C = 25 + 0.10t; Slope = 0.10
8.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A school is selling tickets for a play at $8 each. If they also have a fixed cost of $200 for the venue, write a linear equation for the total revenue (R) based on the number of tickets sold (n). What does the slope represent?
R = 8n - 200; the slope represents the revenue per ticket sold.
R = 5n - 200; the slope represents the discount per ticket.
R = 10n - 200; the slope represents the total cost of the play.
R = 8n + 200; the slope represents the number of tickets sold.
Tags
CCSS.HSF.LE.B.5
9.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Using the equation from the previous problem, if the school sells 50 tickets, what will their total revenue be? Graph the equation and interpret the slope and y-intercept.
Total revenue = 50 * p, where p is the price per ticket.
Total revenue = 50 - p, where p is the price per ticket.
Total revenue = 50 / p, where p is the price per ticket.
Total revenue = 50 + p, where p is the price per ticket.
Tags
CCSS.8.EE.B.5
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