Linear Functions and Equations in Real-World Scenarios

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write a linear function to represent the total cost (C) in terms of miles driven (m). What is the cost if you drive 150 miles?

• $60

• $120

• $100

• $80

A store sells notebooks for $2 each and pens for $1 each. If you buy a total of 10 items for $16, how many notebooks and pens did you buy? Set up a system of equations to solve this problem.

• 4 notebooks and 6 pens

• 6 notebooks and 4 pens

• 5 notebooks and 5 pens

• 7 notebooks and 3 pens

The temperature in a city is expected to drop by 3 degrees each hour. If the current temperature is 20 degrees, write a linear equation to represent the temperature (T) after h hours. What will the temperature be after 5 hours?

• 10 degrees

• 15 degrees

• 0 degrees

• 5 degrees

A gardener is planting flowers in rows. Each row can hold 8 flowers. If the gardener has 56 flowers, how many complete rows can be planted? Write a linear equation to represent this situation and solve for the number of rows.

• 6

• 8

• 5

• 7

A phone company offers a plan that costs $30 per month plus $0.10 per text message. Write a function to represent the total monthly cost (C) based on the number of text messages (t) sent. How much will the total cost be if 200 text messages are sent?

• 30

• 100

• 50

• 70

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 30 students?

• $600

• $950

• $1,200

• $800

A recipe requires 2 cups of flour for every 3 cups of sugar. If you want to make a batch with 12 cups of sugar, how many cups of flour do you need? Set up a linear equation to solve this problem.

• 4 cups of flour

• 6 cups of flour

• 8 cups of flour

• 10 cups of flour

A train travels at a constant speed of 60 miles per hour. Write a linear function to represent the distance (d) traveled in terms of time (t) in hours. How far will the train travel in 4 hours?

• 180 miles

• 120 miles

• 240 miles

• 300 miles

A local gym charges a $50 membership fee plus $10 per class attended. Write a linear equation to represent the total cost (C) for attending c classes. If a member attends 8 classes, what is the total cost?

• $150

• $100

• The total cost for attending 8 classes is $130.

• $200

A factory produces 100 toys per hour. If the factory operates for h hours, write a linear function to represent the total number of toys produced (T). How many toys will be produced in 5 hours?

• 700

• 400

• 600

• 500