Exploring Linear Equations and Exponential Growth Problems

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) of renting the car for m miles. What is the cost if you drive 150 miles?

• $90

• $30

• $60

• $75

A phone plan costs $25 per month plus $0.10 per text message sent. Write a linear equation for the total cost (C) based on the number of text messages (t) sent. How much will you pay if you send 200 messages?

• $50

• $30

• $45

• $25

A plant grows exponentially, doubling in height every week. If the plant is 2 inches tall now, how tall will it be after 4 weeks?

• 40 inches

• 32 inches

• 24 inches

• 16 inches

A local gym charges a membership fee of $50 plus $10 per class attended. Write a linear equation for the total cost (C) based on the number of classes (c) attended. What is the total cost if you attend 5 classes?

• $70

• $120

• 100

• $90

A savings account earns 5% interest compounded annually. If you deposit $1,000, how much money will be in the account after 3 years? (Use the formula A = P(1 + r)^t)

• 1200.00

• 1100.50

• 1050.75

• 1157.63

A taxi charges a base fare of $3 plus $2 per mile. Write a linear equation to represent the total fare (F) for a trip of m miles. What is the fare for a 10-mile trip?

• $18

• $23

• $15

• $30

A population of bacteria doubles every hour. If you start with 100 bacteria, how many will there be after 5 hours?

• 1600

• 2400

• 3200

• 4000

A store sells a shirt for $20 and has a sale where the price decreases by $2 each week. Write a linear equation for the price (P) of the shirt after w weeks. What will the price be after 4 weeks?

• $10

• $16

• $8

• $12

A tree grows at a rate of 3 inches per year. If it is currently 10 inches tall, write a linear equation to represent its height (H) after y years. How tall will the tree be in 5 years?

• 25 inches

• 30 inches

• 20 inches

• 15 inches

A city’s population is currently 50,000 and is expected to grow by 1,500 people each year. Write a linear equation for the population (P) after y years. What will the population be in 10 years?

• 70000

• 65000

• 60000

• 55000