Equations and Slopes: Real-World Word Problems for 8th Graders

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?

• Slope: 0.20, Y-intercept: 50

• Slope: 0.20, Y-intercept: 100

• Slope: 0.10, Y-intercept: 50

• Slope: 0.50, Y-intercept: 20

A gardener is planting flowers in a straight line. If he plants 5 flowers in 2 hours, how many flowers does he plant per hour? Write an equation and find the slope and y-intercept.

• 2.5 flowers per hour

• 1 flower per hour

• 3 flowers per hour

• 5 flowers per hour

A phone plan costs $30 per month plus $0.10 per text message. Write an equation for the total cost (C) based on the number of text messages (t). What are the slope and y-intercept?

• Slope: 0.30, Y-intercept: 10

• Slope: 0.05, Y-intercept: 50

• Slope: 0.10, Y-intercept: 30

• Slope: 30, Y-intercept: 0.10

A bike shop sells bikes for $200 each and charges a one-time assembly fee of $50. Write an equation for the total cost (C) based on the number of bikes (b) purchased. Identify the slope and y-intercept.

• C = 200b; slope = 200, y-intercept = 0

• C = 250b + 50; slope = 250, y-intercept = 50

• C = 200b + 50; slope = 200, y-intercept = 50

• C = 150b + 50; slope = 150, y-intercept = 50

A student scores 80 points on a test and increases her score by 5 points for each additional hour of study. Write an equation for her score (S) based on hours studied (h). What is the slope and y-intercept?

• S = 75 + 5h; slope = 5, y-intercept = 75

• S = 80 + 10h; slope = 10, y-intercept = 80

• S = 80 + 2h; slope = 2, y-intercept = 80

• S = 80 + 5h; slope = 5, y-intercept = 80

A delivery service charges a base fee of $15 plus $2 for each mile driven. Write an equation for the total charge (C) based on miles driven (m). What are the slope and y-intercept?

• C = 15 + 2m; slope = 2, y-intercept = 15

• C = 10 + 2m; slope = 2, y-intercept = 10

• C = 15 + 1m; slope = 1, y-intercept = 15

• C = 15 + 3m; slope = 3, y-intercept = 15

A restaurant's daily sales are represented by the equation S = 150 + 20d, where d is the number of days. What is the slope and y-intercept of this equation?

• Slope: 20, Y-intercept: 200

• Slope: 15, Y-intercept: 100

• Slope: 20, Y-intercept: 150

• Slope: 25, Y-intercept: 150

A fitness center charges a monthly fee of $40 plus $5 for each class attended. Write an equation for the total cost (C) based on the number of classes (c). Identify the slope and y-intercept.

• C = 40 + 5c; Slope: 0, Y-intercept: 5

• C = 40 + 10c; Slope: 10, Y-intercept: 40

• C = 40 + 5c; Slope: 5, Y-intercept: 40

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

A school is planning a field trip and charges $10 per student plus a $50 bus fee. Write an equation for the total cost (C) based on the number of students (s). What are the slope and y-intercept?

• Slope: 10, Y-intercept: 50

• Slope: 5, Y-intercept: 50

• Slope: 50, Y-intercept: 10

• Slope: 10, Y-intercept: 0

A local farmer sells apples for $3 per pound and has a fixed cost of $20 for supplies. Write an equation for the total revenue (R) based on pounds of apples sold (p). What is the slope and y-intercept?

• R = 2p; slope = 2, y-intercept = 10

• R = 5p; slope = 5, y-intercept = 20

• R = 3p + 20; slope = 3, y-intercept = 20

• R = 3p; slope = 3, y-intercept = 0