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WorksheetsMastering Linear Equations: Slope, Intercept & Word Problems
Total questions: 9
Worksheet time: 5mins
A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write an equation to represent 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: 50, Y-intercept: 0.20
Slope: 0.50, Y-intercept: 20
A gym charges a monthly membership fee of $30 plus $5 for each class attended. If you attend 4 classes in a month, how much will you pay in total? Write the equation and identify the slope and intercept.
$50
$70
$60
$40
A phone plan costs $25 per month plus $0.10 for each text message sent. Write an equation for the total cost (C) based on the number of text messages (t) sent. What does the slope represent in this context?
C = 25t; the slope (25) represents the total monthly cost.
C = 0.10t; the slope (0.10) represents the total cost of the plan.
C = 25 + 0.10t; the slope (0.10) represents the cost per text message.
C = 0.10 + 25t; the slope (25) represents the number of text messages.
A taxi charges a base fare of $3 plus $2 for every mile driven. If you want to find the total cost for a ride of x miles, write the equation. What is the y-intercept and what does it represent?
y = 3 + 2x; y-intercept is 3, representing the base fare.
y = 3 + 3x; y-intercept is 3, representing the cost per mile.
y = 5 + 2x; y-intercept is 5, representing the additional fees.
y = 2 + 3x; y-intercept is 2, representing the total cost.
A school is planning a field trip and estimates that the cost per student is $15 plus $5 for each additional student beyond 20 students. Write an equation for the total cost (C) based on the number of students (s). What is the slope?
The slope is 10.
The slope is 20.
The slope is 15.
The slope is 5.
A farmer sells apples for $3 per pound and oranges for $2 per pound. If the total revenue from selling 10 pounds of apples and 5 pounds of oranges is $45, write an equation to represent this situation. What are the slopes of the individual fruit sales?
Equation: 4x + y = 45; Slopes: Apples = 4, Oranges = 1
Equation: 3x + 3y = 45; Slopes: Apples = 3, Oranges = 3
Equation: 3x + 2y = 45; Slopes: Apples = 3, Oranges = 2
Equation: 2x + 3y = 45; Slopes: Apples = 2, Oranges = 3
A concert ticket costs $50, and there is an additional service fee of $10. Write an equation for the total cost (C) of buying x tickets. Identify the slope and y-intercept of this equation.
C = 50x + 5; Slope: 50, Y-intercept: 5
C = 60x + 10; Slope: 60, Y-intercept: 10
C = 50x + 10; Slope: 50, Y-intercept: 10
C = 50x + 15; Slope: 50, Y-intercept: 15
A local bakery sells cupcakes for $2 each and cookies for $1 each. If you buy a total of 12 items for $20, write a system of equations to represent this situation. What do the slopes of the equations indicate?
x + y = 12; 2x + y = 20
x + 2y = 12; x + y = 20
3x + y = 12; 2x + 3y = 20
x + y = 10; 2x + y = 18
A subscription service charges $10 per month plus $2 for each movie rented. Write an equation for the total cost (C) based on the number of movies (m) rented. What does the slope represent in this scenario?
C = 10m + 2; the slope represents the total cost.
C = 2m; the slope represents the number of movies rented.
C = 10 + 2m; the slope represents the cost per movie rented.
C = 2 + 10m; the slope represents the monthly fee.
