Exponential Functions Review

Jamie's podcast has 1,400 subscribers. The number of her subscribers is increasing at a rate of 5.9% each week. Which function would represent her followers after w weeks?

• y = 1400(1.059)^w

• y = 105.9(1400)^w

• y = 1400(1.59)^w

• y = 1400(5.9)^w

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

Liliana bought a new laptop for $1100. Each year, the value of the laptop decreases by 12%. At this rate, what can Liliana expect the approximate value of the laptop to be after 9 years?

• $3050.39

• $348.13

• $1224.66

• $395.60

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.A.3

CCSS.HSF.LE.B.5

The amount of bacteria in a sample after x hours can be represented by the function y = 200(3)^x. What does (3)^x mean in this context?

• There are 3 bacterium at the beginning

• The bacteria is tripling every hour

• The bacteria is increasing by 3% every hour

• The bacteria is decreasing by 3% every hour

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.1

What value of x makes this equation true?

4^x = 262,144

• 9

• 10

• 11

• 12

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

What function is represented by the sequence below?

7, 28, 112, 448 ...

• a_n = 4(7)^n-1

• a_n = 7(4)ⁿ

• a_n = 7(2)^n-1

• a_n = 7(4)^n-1

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

What is a reasonable domain for the sequence below?

7, 28, 112, 448 ...

• {1,2,3,4 ...}

• {7,28,112,448...}

• All real numbers

• All positive real numbers

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.3

A guitar that costs $1,600 loses 7% of its value every year. What equation would model the value of the guitar, v, after t years?

• v = 1600(1.07)^t

• t = 1600(.93)^v

• v = 1600(.93)^t

• t = 1600(1.07)^v

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

The number of subscribers to Francisco's podcast after m months can be modeled by the function y = 150(1.09)^m. What is the growth rate of Francisco's listeners?

• 1.09

• 109%

• 90%

• 9%

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

The number of subscribers to Francisco's podcast after m months can be modeled by the function y = 150(1.09)^m. How many listeners would Francisco have after one year? (You can't have part of a subscriber)

• 163

• 421.9

• 421

• 163.5

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

The number of rabbits in Rabbit Forest can be modeled by the function R(x) = a₀(3)^x, where x is the time in years since the rabbits migrated there.

After five years, 1,458 rabbits are in Rabbit Forest. What was the initial population of rabbits?

• 3

• 4

• 5

• 6

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2