Exponential Function vs Growth and Decay

The population of turtles is doubling every 3 months.  If there are 400 turtles now, how many will there be in 2 years?  (Choose equation)

• y = 400(2)²

• y = 400(2)⁶

• y = 400(2)⁸

• y = 400 + 2(8)

Pick the equation that is exponential growth

• y=2(0.5)^x

• y = 0.5(2)^x

• y = .5x - 2

• y = 2x + .5 

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x

• y = 15(1.35)^x

• y = 15(0.35)^x

• y = 35(1.15)^x

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

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

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

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

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

What type of function is represented by this table?

• Exponential Growth

• Exponential Decay

• Linear

• None of the above.