Linear and Exponential Functions: Equations & Graphs Quiz

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Write a linear equation to represent the total cost (C) based on the number of miles (m) driven. How much would it cost to drive 150 miles?

• $60

• $90

• $75

• $45

A population of bacteria doubles every 3 hours. If you start with 500 bacteria, write an exponential equation to represent the population (P) after t hours. How many bacteria will there be after 9 hours?

• 8000

• 4000

• 2000

• 1000

A local gym has 200 members and gains 10 new members each month. Write a linear equation to model the number of members (M) after m months. How many members will the gym have after 6 months?

• 220

• 300

• 250

• 260

A certain investment grows exponentially at a rate of 5% per year. If you invest $1,000, write an exponential equation to represent the amount (A) after t years. How much will the investment be worth after 10 years?

• $1,200.00

• $1,500.50

• $2,000.00

• $1,628.89

A tree grows 2 inches each year. Write a linear equation to represent the height (H) of the tree after y years if it starts at 5 inches. What will be the height after 4 years?

• 8 inches

• 15 inches

• 13 inches

• 10 inches

A smartphone's value decreases by 20% each year. If the initial value is $600, write an exponential equation to represent its value (V) after t years. What will the value be after 3 years?

• $307.20

• $480.00

• $360.00

• $240.00

A factory produces 1,000 units of a product in the first month and increases production by 15% each month. Write an exponential equation to model the production (P) after m months. How many units will be produced in the 5th month?

• 1500

• 2011.36

• 1750

• 2200

A taxi service charges a base fare of $2.50 plus $1.50 per mile. Write a linear equation to represent the total fare (F) based on the number of miles (d) driven. How much would the fare be for a 10-mile trip?

• $12.00

• $17.50

• $15.00

• $20.00

A savings account earns 3% interest compounded annually. If you deposit $500, write an exponential equation to represent the amount (A) in the account after t years. How much will be in the account after 5 years?

• $650.00

• $579.64

• $700.00

• $500.00

A plant grows exponentially, doubling its height every week. If it starts at 10 cm, write an exponential equation to represent its height (H) after w weeks. What will its height be after 4 weeks?

• 80 cm

• 200 cm

• 120 cm

• 160 cm