Writing Equations & Identifying Slope/Intercept in Costs

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Write the equation in slope-intercept form to represent the total cost (C) as a function of miles driven (m). What is the slope and intercept?

• Slope: 0.20, Intercept: 30

• Slope: 0.10, Intercept: 40

• Slope: 0.50, Intercept: 20

• Slope: 30, Intercept: 0.20

A local gym charges a monthly membership fee of $25 and an additional $10 per fitness class attended. Write the equation in slope-intercept form for the total cost (C) based on the number of classes (c). Identify the slope and intercept.

• C = 15c + 20

• C = 5c + 25

• C = 10c + 30

• C = 10c + 25; slope = 10, intercept = 25

Two friends are selling lemonade. One sells it for $1.50 per cup and has a fixed cost of $10. The other sells it for $2.00 per cup with a fixed cost of $5. Write the equations in slope-intercept form and determine where their sales will be equal.

• 20 cups

• 15 cups

• 10 cups

• 5 cups

A school is planning a field trip. The cost per student is $15, and there is a fixed cost of $200 for the bus. Write the equation in slope-intercept form for the total cost (C) based on the number of students (s). What is the slope and intercept?

• Slope: 15, Intercept: 100

• Slope: 200, Intercept: 15

• Slope: 15, Intercept: 200

• Slope: 10, Intercept: 250

A phone company offers a plan that costs $40 per month plus $0.10 per text message. Write the equation in slope-intercept form for the total monthly cost (C) based on the number of text messages (t). Identify the slope and intercept.

• C = 0.10 + 40t; Slope: 40, Intercept: 0.10

• C = 40 + 0.05t; Slope: 0.05, Intercept: 40

• C = 40 + 0.10t; Slope: 0.10, Intercept: 40

• C = 40t + 0.10; Slope: 40, Intercept: 0.10

A bakery sells cupcakes for $3 each and has a daily fixed cost of $50. Write the equation in slope-intercept form for the total revenue (R) based on the number of cupcakes sold (c). What is the slope and intercept?

• R = 3c - 50; slope = 3, intercept = -50

• R = 3c; slope = 3, intercept = 0

• R = 50 + 3c; slope = 3, intercept = 50

• R = 3c + 50; slope = 50, intercept = 3

A taxi service charges a base fare of $5 plus $2 per mile. Write the equation in slope-intercept form for the total fare (F) based on the number of miles (m). Identify the slope and intercept.

• F = 2m + 10; Slope: 2, Intercept: 10

• F = 3m + 5; Slope: 3, Intercept: 5

• F = 2m + 5; Slope: 2, Intercept: 5

• F = 5m + 2; Slope: 5, Intercept: 2

A concert venue sells tickets for $50 each and has a fixed cost of $1,000 for the event. Write the equation in slope-intercept form for the total revenue (R) based on the number of tickets sold (t). What is the slope and intercept?

• Slope: 50, Intercept: 0

• Slope: 100, Intercept: 0

• Slope: 25, Intercept: 100

• Slope: 0, Intercept: 50

A farmer sells apples for $2 per pound and has a fixed cost of $100 for the season. Write the equation in slope-intercept form for the total revenue (R) based on the number of pounds sold (p). Identify the slope and intercept.

• R = 3p; slope = 3, intercept = 0

• R = 2p + 100; slope = 2, intercept = 100

• R = 2p; slope = 2, intercept = 0

• R = p; slope = 1, intercept = 0

A subscription service charges $10 per month plus a one-time fee of $50. Write the equation in slope-intercept form for the total cost (C) based on the number of months (m). What is the slope and intercept?

• Slope: 50, Intercept: 10

• Slope: 10, Intercept: 50

• Slope: 10, Intercept: 0

• Slope: 5, Intercept: 50