Slope and Intercept: Linear Equations for 8th Graders

A car rental company charges a flat fee of $50 plus $20 for each day the car is rented. Write the equation that represents the total cost (C) in terms of the number of days (d) rented. What is the slope and y-intercept of this equation?

• Slope: 20, Y-intercept: 50

• Slope: 0, Y-intercept: 50

• Slope: 20, Y-intercept: 0

• Slope: 50, Y-intercept: 20

A local gym has a membership fee of $30 and charges $10 per class attended. Write the linear equation for the total cost (C) based on the number of classes (c) attended. Identify the slope and y-intercept.

• C = 30 + 10c; Slope: 10, Y-intercept: 30

• C = 30 + 5c; Slope: 5, Y-intercept: 30

• C = 10 + 30c; Slope: 30, Y-intercept: 10

• C = 20 + 10c; Slope: 10, Y-intercept: 20

Tags

CCSS.HSF.LE.B.5

A school is planning a field trip and has a budget of $200. The cost per student is $15. Write the equation for the total cost (C) based on the number of students (s). What is the slope and y-intercept?

• Slope: 15, Y-intercept: 10

• Slope: 10, Y-intercept: 5

• Slope: 20, Y-intercept: 0

• Slope: 15, Y-intercept: 0

A gardener is planting flowers in a rectangular garden. The length of the garden is 3 feet longer than twice the width. If the width is represented by w, write the equation for the length (l) in terms of w. Identify the slope and y-intercept.

• l = w + 3; slope = 1, y-intercept = 3

• l = 2w + 3; slope = 2, y-intercept = 3

• l = 3w + 2; slope = 3, y-intercept = 2

• l = 2w - 3; slope = 2, y-intercept = -3

Tags

CCSS.6.EE.C.9

A phone company offers a plan that costs $40 per month plus $0.10 for each minute used. Write the equation for the total cost (C) based on the number of minutes (m) used. What is the slope and y-intercept?

• Slope: 0.10, Y-intercept: 40

• Slope: 0.10, Y-intercept: 20

• Slope: 0.05, Y-intercept: 30

• Slope: 0.20, Y-intercept: 50

A delivery service charges a base fee of $5 plus $2 for each mile driven. Write the equation for the total cost (C) based on the number of miles (m) driven. Identify the slope and y-intercept.

• C = 2 + 5m; slope = 5, y-intercept = 2

• C = 5 + 2m; slope = 2, y-intercept = 5

• C = 5 + 3m; slope = 3, y-intercept = 5

• C = 5 + 2m; slope = 5, y-intercept = 2

Tags

CCSS.HSF.LE.B.5

A concert venue sells tickets for $25 each and has a fixed cost of $500 for the event. Write the equation for the total revenue (R) based on the number of tickets (t) sold. What is the slope and y-intercept?

• R = 20t; slope = 20; y-intercept = 0

• R = 25t + 500; slope = 500; y-intercept = 25

• R = 500 + 25t; slope = 25; y-intercept = 500

• R = 25t; slope = 25; y-intercept = 0

A bakery sells cupcakes for $3 each and has a daily fixed cost of $100. Write the equation for the total revenue (R) based on the number of cupcakes (c) sold. Identify the slope and y-intercept.

• R = 3c; slope = 3, y-intercept = 0

• R = 100 + 3c; slope = 100, y-intercept = 3

• R = 3c; slope = 0, y-intercept = 100

• R = 3c + 100; slope = 100, y-intercept = 3

A taxi service charges a flat fee of $3 plus $2 for each mile driven. Write the equation for the total fare (F) based on the number of miles (m) driven. What is the slope and y-intercept?

• F = 5 + 2m; Slope: 2, Y-intercept: 5

• F = 3 + 3m; Slope: 3, Y-intercept: 3

• F = 2 + 2m; Slope: 2, Y-intercept: 2

• F = 3 + 2m; Slope: 2, Y-intercept: 3

A subscription service charges $10 per month plus $5 for each additional feature. Write the equation for the total cost (C) based on the number of additional features (f). Identify the slope and y-intercept.

• C = 10 + 10f; slope = 10; y-intercept = 10

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

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

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