Exponential Growth/Decay

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x
• y=6(1 + 14)^x
• y=6(1 + .14)^x
• y=6(0.86)^x

Tags

CCSS.HSF.LE.A.2

P = 8(1.23)^t

What is the growth rate?

Write as a percent!

Tags

CCSS.HSF-IF.C.8B

Is this exponential growth or decay?
y = 7(1.2)^x

• Growth, because of 7
• Decay, because of 1.2
• Growth because of 1.2
• Decay because of 7

Tags

CCSS.HSF-IF.C.8B

P = 8(1.23)^t

Is the function growth or decay?

Check the box:

• Growth

• Decay

Tags

CCSS.HSF-IF.C.8B

North Dakota has recently had the fastest growing population out of all 50 states. On Jan 1, 2013, the population of North Dakota was 700,000 people. North Dakota’s population has been growing by 5% per year. Express North Dakota’s population, N, in terms of years since 2013, t.

Check the BEST answer:

• N=700,000(1.05)t

• N=700,000(1.5)t

• N=700,000(1-0.05)^t

• N=700,000(0.95)^t

Tags

CCSS.HSF.LE.A.2

The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)^t where t is the number of years since 1990. What percent did the population increase each year?

• 4%
• It doesn't say
• I don't know
• 400%

Tags

CCSS.HSF-LE.A.1C

Given the function f(x) = 0.92^x, is this a growth or decay function?

• Growth

• Decay

Tags

CCSS.HSF-IF.C.8B

Q = 3.1(0.78)^t

What is the DECAY rate?

Write as a percent!

CAREFUL!!!

Tags

CCSS.HSF-IF.C.8B

The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)^t where t is the number of years since 1990. What was the population in 1990? 

• 8181

• 104

• 1.04

• 6191

The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.

• y=1400(1.09)^x
• y=1.09(1400)^x
• y=1400(.91)^x
• y=1.09^x

Tags

CCSS.HSF.LE.A.2