Understanding Slope: Cost Equations in Real Life

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. What is the slope of the cost in relation to miles driven, and what is the y-intercept?

• Slope: 0.20, Y-intercept: 15

• Slope: 0.10, Y-intercept: 25

• Slope: 0.15, Y-intercept: 30

• Slope: 0.15, Y-intercept: 20

A gardener plants flowers in a row, and the cost of planting is $50 plus $10 for each flower. Write the equation representing the total cost and identify the slope and y-intercept.

• C = 50 + 15x; Slope: 15, Y-intercept: 50

• C = 50 + 10x; Slope: 10, Y-intercept: 50

• C = 50 + 5x; Slope: 5, Y-intercept: 50

• C = 100 + 10x; Slope: 10, Y-intercept: 100

A phone plan costs $30 per month plus $0.10 for each text message sent. What does the slope represent in this context, and how would you write the equation for the total cost?

• C = 30 + 0.10t

• C = 30 + 0.20t

• C = 30 + 0.05t

• C = 30t + 0.10

A gym charges a membership fee of $25 and $5 for each class attended. Identify the slope and y-intercept, and write the equation for the total cost of attending classes.

• C = 10x + 15, slope = 10, y-intercept = 15

• C = 5x + 25, slope = 5, y-intercept = 25

• C = 2x + 25, slope = 2, y-intercept = 25

• C = 5x + 30, slope = 5, y-intercept = 30

A taxi service charges a base fare of $3 plus $2 for each mile driven. What is the slope of the cost in relation to miles driven, and what does it represent?

• 2

• $2 per mile

• 1

• 3

A school sells tickets for a play at $10 each, with a fixed cost of $50 for the venue. Write the equation for total ticket sales and identify the slope and y-intercept.

• T = 10x - 50; slope = 10, y-intercept = -50

• T = 15x - 50; slope = 15, y-intercept = -50

• T = 10x + 50; slope = 10, y-intercept = 50

• T = 5x + 50; slope = 5, y-intercept = 50

A delivery service charges $5 for delivery plus $1 for each item delivered. What is the slope in this scenario, and how would you express the total cost as an equation?

• Slope: 5; Equation: Total Cost = 1 * (number of items)

• Slope: 0; Equation: Total Cost = 5 + (number of items)

• Slope: 1; Equation: Total Cost = 5 + 1 * (number of items)

• Slope: 2; Equation: Total Cost = 5 + 2 * (number of items)

A subscription box service charges $15 per month plus $5 for each item included. Write the equation for the total cost and identify the slope and y-intercept.

• C = 15 + 10x; slope = 10; y-intercept = 15

• C = 20 + 3x; slope = 3; y-intercept = 20

• C = 15 + 5x; slope = 5; y-intercept = 15

• C = 10 + 5x; slope = 10; y-intercept = 10

A concert ticket costs $40 plus $2 for each additional fee. What does the slope represent, and how can you write the equation for the total cost of the ticket?

• Total Cost = 40 + 2x

• Total Cost = 40 - 2x

• Total Cost = 2x + 40

• Total Cost = 40 + 5x

A local bakery sells cupcakes for $3 each, with a fixed cost of $10 for the order. Identify the slope and y-intercept, and write the equation for the total cost of the order.

• C = 3x + 10; slope = 3; y-intercept = 10

• C = 4x + 10; slope = 4; y-intercept = 10

• C = 3x + 5; slope = 3; y-intercept = 5

• C = 2x + 10; slope = 2; y-intercept = 10