Exploring Linear Functions & Exponential Growth in Real Life

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If you drive 150 miles, how much will you pay? Graph the cost as a function of miles driven.

• $60

• $45

• $75

• $90

A local gym charges a monthly membership fee of $40. If they increase the fee by $5 each year, how much will the membership cost in 3 years? Create a linear equation to represent this situation.

• 50

• 60

• 55

• 45

A tree grows 2 inches every year. If it is currently 5 feet tall, how tall will it be in 10 years? Graph the height of the tree over time.

• 6 feet 8 inches

• 8 feet 4 inches

• 5 feet 10 inches

• 7 feet 2 inches

A savings account has an initial deposit of $500 and earns 5% interest compounded annually. How much will be in the account after 3 years? Write an exponential function to model this situation.

• $578.81

• $600.00

• $550.25

• $500.00

A taxi company charges a base fare of $2.50 plus $1.50 per mile. If you take a 10-mile ride, how much will you pay? Create a linear equation and graph it.

• $15.00

• $20.00

• $17.50

• $12.50

A certain species of fish in a lake increases its population by 10% each year. If there are currently 200 fish, how many will there be in 4 years? Write an exponential growth equation and calculate the population.

• 320

• 250

• 180

• 293

A phone plan costs $25 per month plus $0.10 per text message. If you send 200 texts in a month, how much will your bill be? Graph the total cost as a function of the number of texts sent.

• $70

• $30

• $55

• $45

A factory produces 100 units of a product each day. If production increases by 20 units each day, how many units will be produced in 7 days? Create a linear function to represent this scenario.

• 960 units

• 1120 units

• 1000 units

• 840 units

A town's population is 10,000 and is expected to grow by 3% each year. How many people will live in the town after 5 years? Write an exponential function to model the population growth.

• 11593

• 10500

• 11000

• 12000