Exponential Functions Review

A scientist is studying wildlife. She estimates the population of bats to be 270,000. She predicts the population to grow at an annual rate of 2.9%. Write an equation that could be used to determine y, the number of bats, after x years.

• y = 270000(2.9)^x

• y = 270000(1 + 2.9)^x

• y = 270000(1 + 0.029)^x

• y = 270000 + 2.9x

Tags

CCSS.HSF.LE.A.2

The population of rabbits on an island doubles every year. On January 1, the population is 150 rabbits. Which equation could be used to determine the number of years, x, it will take for the population to reach 4800?

• 4800 = 150 + 2x

• 4800 = 150(2)^x

• 4800 = 2(150)^x

• 4800 = 2 + 150x

The first five terms of a sequence are shown.

4, 12, 36, 108, 324, ...

Write an explicit formula to model the value of the nth term in the sequence such that f(1) = 4.

• f(n) = 4(3)ⁿ

• f(n) = 4(3)^n-1

• f(n) = 4 + 8(n-1)

• f(n) = 4 + 8n

Tags

CCSS.HSF.BF.A.2

A landscaper puts 5 fish into a new pond. The number of fish doubles every month. Write a function f(x) to determine the number of fish after x months.

• f(x) = 5(2)^x

• f(x) = 2(5)^x

• f(x) = 5 + 2x

• f(x) = 2 + 5x

Tags

CCSS.HSF.LE.A.2

A sequence is shown.

3, 6, 12, 24, ...

Which function, f(n), represents the nth term of the sequence, where f(1) = 3?

• f(n) = 3 + 3n

• f(n) = 3(2n)

• f(n) = 3(2)^n-1

• f(n) = 3(2)ⁿ

Tags

CCSS.HSF.LE.A.2

• 7

• 3.25

• -1

• -4

Tags

CCSS.HSF-IF.C.8B