Solving Linear & Exponential Growth Word Problems

1. A plant grows 2 inches every week (linear growth). How tall will it be after 5 weeks?

• 15 inches

• 10 inches

• 12 inches

• 8 inches

2. A bacteria culture doubles in size every hour (exponential growth). If it starts with 10 bacteria, how many will there be after 3 hours?

• 30

• 50

• 100

• 80

3. A car travels at a constant speed of 60 miles per hour (linear). How far will it travel in 4 hours?

• 300 miles

• 180 miles

• 240 miles

• 120 miles

4. A savings account earns 5% interest compounded annually (exponential). If you start with $100, how much will you have after 2 years?

• 115.50

• 110.25

• 105.00

• 120.00

5. A linear function is represented by the equation y = 3x + 2. What is the value of y when x = 4?

• 16

• 12

• 10

• 14

6. A population of rabbits increases by 10% each month (exponential). If there are 50 rabbits now, how many will there be in 2 months?

• 55

• 80

• 61

• 70

7. A linear table shows the relationship between hours worked and money earned. If you earn $15 per hour, how much will you earn after 8 hours?

• $100

• $150

• $90

• $120

8. A tree grows 5 feet every year (linear). How tall will it be after 10 years if it starts at 10 feet?

• 60 feet

• 70 feet

• 50 feet

• 40 feet

9. A smartphone app downloads 100MB of data every day (linear). How much data will it have downloaded after 7 days?

• 600MB

• 800MB

• 500MB

• 700MB

10. A viral video gets 200 views on the first day and doubles its views each subsequent day (exponential). How many views will it have on the 4th day?

• 400

• 3200

• 800

• 1600