Exploring Slope and Y-Intercept in Real-Life Scenarios

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. What is the slope of the cost equation in this context, and what does it represent?

• 0.50

• 0.20

• $0.10 per mile

• $50

The equation for a line representing the temperature in a city over time is T = 3t + 15, where T is the temperature in degrees Fahrenheit and t is the time in hours. What is the y-intercept, and what does it signify?

• 20

• 15

• 25

• 10

A gym charges a monthly membership fee of $30 and an additional $5 per class attended. Write the equation for the total cost and identify the slope and its meaning in this scenario.

• C = 30 + 5x; Slope = 5 (cost per class attended)

• C = 30 + 2x; Slope = 2 (cost per class attended)

• C = 30 + 10x; Slope = 10 (cost per class attended)

• C = 25 + 5x; Slope = 5 (monthly fee)

A local bakery sells cupcakes for $2 each. If the total cost for x cupcakes is represented by the equation C = 2x, what is the y-intercept, and what does it indicate?

• -2, indicating a discount on cupcakes.

• 0, indicating no cost when no cupcakes are bought.

• 2, indicating the cost of one cupcake.

• 4, indicating the cost of two cupcakes.

A phone plan costs $25 per month plus $0.10 per text message sent. If the total cost is represented by the equation C = 0.10x + 25, what does the slope represent in this context?

• The slope represents the cost per text message sent, which is $0.10.

• The slope represents the total monthly cost of the plan.

• The slope represents the fixed cost of the phone plan.

• The slope represents the number of text messages sent.

A taxi company charges a base fare of $3 plus $2 per mile. Write the equation for the total fare and find the y-intercept. What does it represent?

• The equation is F = 2m; the y-intercept is 0, representing no fare.

• The equation is F = 3m + 2; the y-intercept is 2, representing the cost per mile.

• The equation is F = 5 + 2m; the y-intercept is 5, representing the total fare after one mile.

• The equation is F = 3 + 2m; the y-intercept is 3, representing the base fare.

A school is planning a field trip and estimates the cost to be $200 plus $15 per student. What is the slope of the cost equation, and what does it mean in this situation?

• 20

• 10

• 15

• 25

The equation for a line representing the number of books sold at a bookstore is y = 5x + 10. What is the y-intercept, and what does it tell us about the bookstore's sales?

• The y-intercept is 0, meaning the bookstore has no initial sales.

• The y-intercept is 15, suggesting the bookstore's sales are declining.

• The y-intercept is 5, indicating the bookstore's sales are increasing.

• The y-intercept is 10, indicating the bookstore's baseline sales.

A delivery service charges a flat fee of $10 plus $1.50 per package delivered. If the total cost is represented by the equation C = 1.5p + 10, what does the slope indicate?

• The slope indicates the cost increase per package delivered.

• The slope indicates the total cost of delivery.

• The slope shows the number of packages delivered.

• The slope represents the fixed fee charged by the service.

A concert ticket costs $50, and there is an additional service fee of $10. Write the equation for the total cost of tickets for x tickets and identify the y-intercept. What does it represent?

• Total Cost = 50x + 10; y-intercept = 10, representing the service fee.

• Total Cost = 60x + 10; y-intercept = 10, representing the total ticket cost.

• Total Cost = 50x + 5; y-intercept = 5, representing the ticket price.

• Total Cost = 50x + 20; y-intercept = 20, representing the total service fees.