Exponential Growth and Decay Review

Is the equation y = 3(1.2)^x exponential growth or decay?

• decay

• growth

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

Which of the following graphs is exponential decay?

• 
• 
• 
• 

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

In the equation y = 205(0.25)⁴, what is the y - intercept (starting amount)?

• 0.25

• 4

• 0.75

• 205

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

Which of the following equations shows an initial value of 21 and is an exponential growth?

• $y=21\left(0.85\right)^x$

• $y=21\left(1.13\right)^x$

• $y=15\left(1.21\right)^x$

• $y=100\left(0.21\right)^x$

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

If f(x) = 30(1.5)^x, what is f(2)?

• 67.5

• 90

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.LE.A.2

Identify the following graph:

• exponential decay

• linear

• exponential growth

• absolute value

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

If the price of gas is $2.35 this week and is said to increase 2% every week, what will the price be in 7 weeks?

• $2.40

• $2.04

• $2.70

• $2.30

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.B.4

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

The population of 530 deer in a certain area is decreasing 4% every year. Using the following equation, in which year will the population first drop below 350 deer?

y = 530(1 - .04)^x

• 5 years

• 9 years

• 12 years

• 14 years

Tags

CCSS.HSA.CED.A.1

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

A boat is bought for $11,090. The value of the boat depreciates (decreases) 5% every year. What will the value of the boat be in 10 years?

• $10,535.50

• $18,064.44

• $105,355

• $6,639.99

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Would the following be modeled by exponential growth or exponential decay?

a population of bark beetles declining by 7% every year

• exponential growth

• exponential decay

Tags

CCSS.HSF.LE.A.1