Understanding Slope and Intercept in Word Problems

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write the equation for the total cost (C) in terms of miles driven (m). What is the slope and y-intercept of this equation?

• Slope: 0.20, Y-intercept: 50

• Slope: 0.10, Y-intercept: 50

• Slope: 0.50, Y-intercept: 20

• Slope: 50, Y-intercept: 0.20

A gym charges a monthly membership fee of $30 and an additional $5 per class attended. Write the equation for the total cost (C) in terms of classes attended (c). Identify the slope and y-intercept.

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

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

• C = 30 + 2c; Slope: 2, Y-intercept: 30

• C = 25 + 5c; Slope: 5, Y-intercept: 25

Two friends are saving money to buy a video game. Friend A saves $10 a week, while Friend B saves $15 a week. Write the equations for the total savings of each friend after w weeks. What are the slopes and y-intercepts of both equations?

• Friend A: slope = 10, y-intercept = 5; Friend B: slope = 15, y-intercept = 5

• Friend A: slope = 5, y-intercept = 0; Friend B: slope = 10, y-intercept = 0

• Friend A: slope = 20, y-intercept = 0; Friend B: slope = 15, y-intercept = 10

• Friend A: slope = 10, y-intercept = 0; Friend B: slope = 15, y-intercept = 0

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

• C = 40 + 0.05t; Slope: 0.05, Y-intercept: 40

• C = 40 + 0.10t; Slope: 0.10, Y-intercept: 40

• C = 0.10 + 40t; Slope: 40, Y-intercept: 0.10

• C = 40t + 0.10; Slope: 40, Y-intercept: 0.10

A school is selling tickets for a play. The tickets cost $8 each, and there is a one-time fee of $50 for the venue. Write the equation for the total revenue (R) in terms of the number of tickets sold (n). What is the slope and y-intercept?

• R = 8n; Slope: 8, Y-intercept: 0

• R = 50n + 8; Slope: 50, Y-intercept: 8

• R = 8n + 50; Slope: 8, Y-intercept: 50

• R = 10n + 50; Slope: 10, Y-intercept: 50

A delivery service charges a base fee of $15 plus $2 per mile. Write the equation for the total charge (C) in terms of miles (m). Identify the slope and y-intercept of this equation.

• C = 15 + 1.5m; slope = 1.5, y-intercept = 15

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

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

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

A local bakery sells cupcakes for $3 each and has a fixed cost of $20 for ingredients. Write the equation for the total cost (C) in terms of the number of cupcakes (c). What are the slope and y-intercept?

• C = 5c + 15; Slope: 5, Y-intercept: 15

• C = 2c + 20; Slope: 2, Y-intercept: 20

• C = 3c + 20; Slope: 3, Y-intercept: 20

• C = 3c + 10; Slope: 3, Y-intercept: 10

A landscaping company charges a flat rate of $100 for a service plus $25 per hour of work. Write the equation for the total cost (C) in terms of hours worked (h). Identify the slope and y-intercept.

• C = 100 + 25h; Slope: 25, Y-intercept: 100

• C = 100h + 25; Slope: 100, Y-intercept: 25

• C = 25h; Slope: 25, Y-intercept: 0

• C = 100 + 15h; Slope: 15, Y-intercept: 100

A concert venue has a seating capacity of 500 and charges $20 per ticket. Write the equation for the total revenue (R) in terms of the number of tickets sold (t). What is the slope and y-intercept?

• R = 10t; slope = 10, y-intercept = 0

• R = 500t; slope = 500, y-intercept = 0

• R = 20t + 100; slope = 20, y-intercept = 100

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

A subscription service charges $10 per month plus a one-time setup fee of $50. Write the equation for the total cost (C) in terms of months (m). Identify the slope and y-intercept of this equation.

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

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

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

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