Graphing and Interpreting Linear Relationships in Real Life

A local bakery sells cupcakes and cookies. The graph of their sales shows that for every 3 cupcakes sold, 2 cookies are sold. If the bakery sold 30 cupcakes, how many cookies did they sell?

• 15

• 25

• 20

• 35

A school is planning a field trip. The cost per student is represented by the equation y = 5x + 20, where x is the number of students. If 40 students sign up, what is the total cost?

• 220

• 150

• 180

• 300

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer drives 150 miles, how much will they pay in total? Graph the equation and interpret the y-intercept.

• $70

• $90

• $100

• $80

Two friends are saving money for a concert. Friend A saves $10 a week, while Friend B saves $15 a week. If they both start with $50, graph their savings over time and determine when they will have the same amount.

• They will have the same amount after 10 weeks.

• Friend A will always have more money.

• They will have the same amount in 5 weeks.

• They will never have the same amount.

A farmer has two types of crops: corn and wheat. The graph shows that for every 4 acres of corn, he can plant 3 acres of wheat. If he has 28 acres total, how many acres of each crop can he plant?

• 20 acres of corn and 8 acres of wheat

• 10 acres of corn and 18 acres of wheat

• 14 acres of corn and 14 acres of wheat

• 16 acres of corn and 12 acres of wheat

A gym charges a monthly fee of $30 plus $5 for each class attended. If a member attends 8 classes in a month, how much will they pay? Graph the total cost and interpret the slope.

• $50

• $70

• $100

• $80

A bookstore sells novels and magazines. The graph indicates that for every 2 novels sold, 5 magazines are sold. If the bookstore sold 40 magazines, how many novels did they sell?

• 10

• 16

• 25

• 20

A pizza shop sells small and large pizzas. The cost of a small pizza is represented by the equation y = 8x, and the cost of a large pizza is y = 12x. If a customer buys 3 large pizzas, how much do they spend?

• 30

• 36

• 24

• 48

A concert venue has a seating capacity of 500. The graph shows ticket sales over time, with a linear increase. If they sold 300 tickets in the first week, how many tickets do they need to sell in the next week to reach full capacity?

• 150

• 200

• 100

• 250

A charity event sells tickets for $10 each and has a goal of raising $1,000. Graph the relationship between the number of tickets sold and the total amount raised. How many tickets need to be sold to meet the goal?

• 100 tickets

• 50 tickets

• 120 tickets

• 75 tickets