Decay vs. Growth Exponential Functions

A city has a population of 21,517 based on a census taken in 1998. If the population is expected to grow by 11% annually, what will the population be in the year 2030?

• 606,900

• 517

• 492,573

• None of these

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CCSS.HSF-LE.A.1C

Is the pictured graph exponential growth, exponential decay, linear growth, or none?  

• Exponential Growth

• Exponential Decay

• Linear Growth

• None of the above

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CCSS.HSF-IF.C.7E

What function type models this graph?

• Exponential Growth

• Exponential Decay

• Linear Growth

• Quadratic

Tags

CCSS.HSF-IF.C.7E

Twenty years ago, Mr. Stern purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?

• $176,783.29

• $424,527.63

• $57,357.75

• $532,041,076.80

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CCSS.HSA.CED.A.1

Write an equation that models the following situation:
Caroline'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

Connor bought a brand new Ford F-150 for $45,000.  Unfortunately, the value of the truck depreciates at a rate of 1.3% per month.  Which equation shows the value of the truck?

• 45,000(1.3)^x

• 45,000(1.013)^x

• 45,000(.987)^x

• 45,000(.013)^x

Tags

CCSS.HSF.LE.A.2

What type of function is this equation:
y=  4^x+1

• Linear

• Exponential

• Neither

What type of function describes the story below?
You have $5 and triple your money every day. 

• Linear

• Exponential

• Neither

The iPhone X is valued at $1000 upon purchase. The value is expected to decrease by 14% each year. What type of function is this?

• Linear

• Exponential Decay

• Neither

• Exponential Growth

A(n) _________________ function will MULTIPLY the same number each time.

• Linear

• Quadratic

• Exponential

• All of the above