Graphing Linear Equations in Real-Life Scenarios

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). How much would it cost to drive 150 miles?

• $100

• $60

• $120

• $80

A store sells notebooks for $2 each and pens for $1 each. If a student buys a total of 10 items and spends $16, write a system of linear equations to represent the situation. How many notebooks and pens did the student buy?

• 6 notebooks and 4 pens

• 7 notebooks and 3 pens

• 4 notebooks and 6 pens

• 5 notebooks and 5 pens

A gardener is planting flowers in a rectangular garden. The length of the garden is 3 meters longer than twice the width. If the perimeter of the garden is 36 meters, write a linear equation to find the dimensions of the garden.

• Width: 4 meters, Length: 10 meters

• Width: 7 meters, Length: 15 meters

• Width: 5 meters, Length: 13 meters

• Width: 6 meters, Length: 12 meters

A phone company offers a plan that costs $30 per month plus $0.10 per minute for calls. Write a linear equation for the total cost (C) based on the number of minutes (m) used. How much would a customer pay if they use 200 minutes?

• $30

• $70

• $50

• $100

A school is organizing a field trip. The cost per student is $25, and there is a fixed cost of $200 for the bus. Write a linear equation to represent the total cost (C) for x students. How much will it cost for 40 students?

• $1000

• $800

• $1200

• $1500

A local bakery sells cupcakes for $3 each and cookies for $2 each. If a customer buys a total of 15 items and spends $36, write a system of linear equations to find out how many cupcakes and cookies were purchased.

• x + y = 15, 3x + 2y = 36

• x + y = 10, 3x + 2y = 30

• x + y = 20, 3x + 2y = 40

• x + y = 15, 2x + 3y = 36

A train travels at a speed of 60 miles per hour. Write a linear equation to represent the distance (d) traveled in terms of time (t) in hours. How far will the train travel in 3 hours?

• 240 miles

• 150 miles

• 180 miles

• 90 miles

A movie theater charges $10 for adult tickets and $7 for child tickets. If a family buys a total of 5 tickets and spends $43, write a system of linear equations to determine how many adult and child tickets were purchased.

• x + y = 4, 10x + 7y = 45

• x + y = 5, 10x + 7y = 50

• x + y = 5, 10x + 7y = 43

• x + y = 6, 10x + 7y = 40

A fitness center charges a monthly fee of $40 plus $5 for each class attended. Write a linear equation to represent the total cost (C) based on the number of classes (c) attended. How much would it cost to attend 8 classes?

• $80

• $40

• $100

• $60

A bookstore sells novels for $15 each and magazines for $5 each. If a customer buys a total of 8 items and spends $70, write a system of linear equations to find out how many novels and magazines were purchased.

• x + y = 10; 15x + 5y = 80

• x + y = 8; 15x + 5y = 70

• x + y = 6; 15x + 5y = 60

• x + y = 8; 10x + 5y = 70