Evaluating and Graphing Exponential Growth Scenarios

A population of bacteria doubles every 3 hours. If there are initially 100 bacteria, how many will there be after 9 hours?

• 400

• 600

• 1000

• 800

Tags

CCSS.HSF.LE.A.4

A car's value decreases by 20% each year. If the car is worth $15,000 now, what will its value be after 2 years?

• $9,600

• $12,000

• $10,800

• $8,000

Tags

CCSS.HSF.BF.A.2

A bank offers an interest rate of 5% compounded annually. If you deposit $1,000, how much money will you have after 3 years?

• 1157.63

• 1050.75

• 1100.50

• 1200.00

The height of a plant grows exponentially. If it is 2 cm tall now and grows to 16 cm in 4 days, what is the growth factor per day?

• 3

• 4

• 2

• 8

A certain radioactive substance has a half-life of 5 years. If you start with 80 grams, how much will remain after 15 years?

• 5 grams

• 20 grams

• 40 grams

• 10 grams

Tags

CCSS.HSF.LE.A.4

A smartphone's battery life decreases exponentially. If it lasts 24 hours when fully charged, how long will it last after 3 full charges?

• 12 hours

• 6 hours

• 1 hour

• 3 hours

A tree's height is modeled by the function h(t) = 5(2^t), where t is the number of years since it was planted. What will be the height of the tree after 5 years?

• 160

• 120

• 200

• 80

The value of a stock is modeled by the function V(t) = 50(1.1^t), where t is the number of years since the stock was purchased. What will the value be after 4 years?

• 90.25

• 60.50

• 80.00

• 73.21

A savings account has an initial deposit of $500 and earns 3% interest compounded monthly. How much will be in the account after 2 years?

• 550.25

• 540.50

• 530.84

• 520.00

A certain species of fish in a lake grows exponentially. If the population is currently 200 and grows to 1,600 in 6 months, what is the growth rate per month?

• 0.3869

• 0.5123

• 0.2154

• 0.6789