Linear Equations: Solving Real-World Problems & Intercepts

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

• 50

• $50 per mile

• $0

• $100 flat fee

A gardener is planting flowers in a straight line. If he plants 5 flowers every hour, write a linear equation to represent the total number of flowers (F) planted after (h) hours. What is the x-intercept of this equation?

• 0

• 5

• -5

• 10

A school is selling tickets for a play. The tickets cost $10 each, and they have a goal of selling 200 tickets. Write a linear equation to represent the total revenue (R) in terms of the number of tickets sold (t). What is the y-intercept?

• R = 5t; y-intercept = 10

• R = 10t; y-intercept = 0

• R = 10t + 50; y-intercept = 50

• R = 15t; y-intercept = 0

A delivery service charges a base fee of $15 plus $1.50 for each package delivered. Write a linear equation for the total charge (C) based on the number of packages (p). What is the x-intercept of this equation?

• -10

• 0

• 5

• -15

A local gym charges a monthly membership fee of $30 plus $5 for each class attended. Write a linear equation to represent the total cost (C) in terms of classes attended (c). What is the y-intercept?

• 35

• 30

• 25

• 40

A bookstore sells notebooks for $3 each and has a goal of making $600 in sales. Write a linear equation to represent the total sales (S) in terms of the number of notebooks sold (n). What is the x-intercept?

• 300

• 200

• 0

• 100

A taxi company charges a flat rate of $2.50 plus $0.75 per mile. Write a linear equation for the total fare (F) based on the number of miles (m). What is the y-intercept of this equation?

• $5.00

• 2.50

• $1.50

• $3.00

A concert venue has a seating capacity of 500. If tickets are sold for $20 each, write a linear equation to represent the total revenue (R) in terms of tickets sold (t). What is the x-intercept?

• 250

• 500

• 0

• 20

A factory produces 100 toys per hour. Write a linear equation to represent the total number of toys (T) produced after (h) hours. What is the y-intercept of this equation?

• 0

• 100

• 1

• 50

A pizza shop sells pizzas for $12 each and has a goal of selling 150 pizzas. Write a linear equation to represent the total sales (S) in terms of the number of pizzas sold (p). What is the x-intercept?

• 150

• 75

• 12

• 0