Exponential Growth Practice

The population of Alaskan bowhead whales was 770 in 2015. It is estimated to increase by 8% each year due to new hunting restrictions. In what year would the population first be more than 2,000 whales?

• 2028

• 2094

• 2442

• 2024

A gallon of milk costs $3 now, but the price is rising by 2.5% each year. Write a rule to model this situation.

• y = 3(1.025)^x

• y = 2.5(3)^x

• y = 2.5(1.03)^x

• y = 3(2.5)^x

A gallon of milk costs $3 now, but the price is rising by 2.5% each year. If inflation remains steady, how long will it take before milk costs $5 a gallon?

• 13 years

• 10 years

• 21 years

• 29 years

The table models a Pay it Forward scheme being started by Joshua and his friend at school. Write a rule to model Joshua's Pay it Forward system.

• y = 2(3)^x

• y = 2(4)^x

• y = 3(2)^x

• y = 4(2)^x

The table models a Pay it Forward scheme being started by Joshua and his friend at school. How many people will be doing good deeds in the 10th stage?

• 354,294 people

• 13,122 people

• 486 people

• 118,098 people

The population of penguins at Juneau National Park over can be estimated by the function f(x) = 250(1.035)^x. Based on this function, they currently have how many penguins?

• 250 penguins

• 1,035 penguins

• 35 penguins

• 833 penguins

Gina invested $250 in stocks, which are expected to grow in value by 75% each year. Which of the following equations best models this situation?

• y = 250(1.75)^x

• y = 250(75)^x

• y = 75(1.25)^x

• y = 75(250)^x

The population of the endangered Sierra Nevada red fox has been slowly building back up due to conservation efforts. The population in 2014 was only 50 foxes, but has been increasing by 3% each year. Write a rule to model the red fox population for any given year, x.

• y = 50(3)^x

• y = 3(50)^x

• y = 50(0.03)^x

• y = 50(1.03)^x

Choose the function that represents the following situation: Profits of $100,000 increase by 15% each year

Choose the function that represents the following situation: College enrollment of 40,000 increases by 7% every year.