Linear Equations: Write and Identify Slope & Intercept

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. Write an equation to represent the total cost (C) of renting a car for x miles. What is the slope and y-intercept of this equation?

• Slope: 0.10, Y-intercept: 25

• Slope: 20, Y-intercept: 0.15

• Slope: 0.20, Y-intercept: 15

• Slope: 0.15, Y-intercept: 20

Maria is saving money to buy a new bike. She starts with $50 and saves $10 each week. Write an equation to represent the total amount of money (M) she has after w weeks. What do the slope and intercept represent in this context?

• M = 50 + 10w

• M = 50 + 5w

• M = 10w

• M = 50 - 10w

A school is selling tickets for a play. Each ticket costs $8, and they have already sold 50 tickets. Write an equation to represent the total revenue (R) from selling t tickets. Identify the slope and y-intercept of this equation.

• R = 8t; slope = 8, y-intercept = 0

• R = 50t; slope = 50, y-intercept = 50

• R = 5t; slope = 5, y-intercept = 0

• R = 8t + 50; slope = 8, y-intercept = 50

A gardener is planting flowers in a row. Each flower takes up 2 feet of space, and he has 10 feet of space available. Write an equation to represent the number of flowers (F) he can plant based on the space used (S). What do the slope and intercept indicate?

• S = 2F, slope = 2, intercept = 0

• S = F, slope = 1, intercept = 2

• S = 4F, slope = 4, intercept = 2

• S = 3F, slope = 3, intercept = 0

A phone company offers a plan that costs $30 per month plus $0.10 per text message sent. Write an equation for the total monthly cost (C) based on the number of text messages (m) sent. Identify the slope and y-intercept.

• C = 30 + 0.05m; Slope: 0.05, Y-intercept: 30

• C = 30m + 0.10; Slope: 30, Y-intercept: 0.10

• C = 0.10m; Slope: 0.10, Y-intercept: 0

• C = 30 + 0.10m; Slope: 0.10, Y-intercept: 30

A bookstore sells notebooks for $3 each and has a special offer of $5 off for every 10 notebooks purchased. Write an equation to represent the total cost (C) for buying n notebooks. What do the slope and intercept represent?

• C = 3n - 2 * (n // 10)

• C = 3n + 5 * (n // 10)

• C = 3n - 5 * (n // 10)

• C = 3n - 10 * (n // 5)

A factory produces toys at a rate of 50 toys per hour. If they start with 200 toys already made, write an equation to represent the total number of toys (T) produced after h hours. Identify the slope and y-intercept.

• T = 50h + 200; slope = 50, y-intercept = 200

• T = 50h + 100; slope = 50, y-intercept = 100

• T = 50h + 300; slope = 50, y-intercept = 300

• T = 30h + 200; slope = 30, y-intercept = 200

A pizza shop charges $12 for a large pizza and $2 for each additional topping. Write an equation to represent the total cost (C) of a pizza with t toppings. What do the slope and intercept represent in this scenario?

• C = 15 + 2t

• C = 12 + t

• C = 10 + 3t

• C = 12 + 2t

A gym charges a membership fee of $25 plus $5 for each class attended. Write an equation to represent the total cost (C) for attending c classes. Identify the slope and y-intercept of this equation.

• C = 25 + 10c; Slope: 10, Y-intercept: 25

• C = 20 + 5c; Slope: 5, Y-intercept: 20

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

• C = 25 + 2c; Slope: 2, Y-intercept: 25

A local farmer sells apples for $2 per pound. If he has 50 pounds of apples, write an equation to represent the total revenue (R) from selling p pounds of apples. What do the slope and intercept indicate in this context?

• R = 3p

• R = 2p + 50

• R = p/2

• R = 2p