Tables and Word Problems: Linear vs. Exponential Growth

1. A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Create a table showing the total cost for driving 0, 50, 100, and 150 miles. What is the cost for driving 120 miles?

• $60

• $80

• $90

• $74

2. A bacteria culture doubles in size every hour. If the initial size is 100 bacteria, create a table showing the size of the culture after 0, 1, 2, 3, and 4 hours. How many bacteria will there be after 3 hours?

• 600

• 800

• 400

• 1000

3. A phone plan costs $30 per month plus $0.10 per text message. Create a table for the total cost for 0, 50, 100, and 150 text messages. What is the total cost if you send 75 messages?

• $50.00

• $37.50

• $30.00

• $45.00

4. A population of rabbits grows exponentially. If there are initially 10 rabbits and the population doubles every month, create a table showing the population after 0, 1, 2, 3, and 4 months. How many rabbits will there be after 2 months?

• 20

• 30

• 50

• 40

5. A gym charges a monthly fee of $40 plus $5 for each class attended. Create a table for the total cost for attending 0, 2, 4, and 6 classes. What is the total cost if you attend 5 classes?

• $75

• $65

• $60

• $70

6. A tree grows 3 inches every year (linear growth). If it is currently 5 feet tall, create a table showing its height after 0, 1, 2, 3, and 4 years. How tall will the tree be after 3 years?

• 5 feet 6 inches

• 4 feet 9 inches

• 6 feet 3 inches

• 5 feet 9 inches

7. A savings account earns 5% interest compounded annually. If you start with $1,000, create a table showing the balance after 0, 1, 2, 3, and 4 years. What will the balance be after 2 years?

• $1,102.50

• $1,050.00

• $1,200.00

• $1,100.00

8. A factory produces 100 units in the first week and increases production by 20 units each week. Create a table showing the production for the first 5 weeks. How many units will be produced in the 4th week?

• 180

• 140

• 160

• 200

9. A smartphone's value decreases by 15% each year. If it is initially worth $600, create a table showing its value after 0, 1, 2, 3, and 4 years. What will its value be after 3 years?

• 450.00

• 500.00

• 300.00

• 368.48

10. A subscription service charges $10 per month plus $2 for each movie rented. Create a table for the total cost for renting 0, 3, 6, and 9 movies. What is the total cost if you rent 5 movies?

• $30

• $25

• $20

• $15