Exponential Rates of Growth or Decay

In the function f(x)=142(1.005)^x , is this growth or decay and by how much?

• Growth by 5%

• Growth by 0.5%

• Decay by 5%

• Decay by 0.5%

In the function f(x)=200(1.7)^x , is this growth or decay and by how much?

• Growth by 70%

• Growth by 30%

• Decay by 30%

• Decay by 70%

In 1985, there were 285 cell phone subscribers in a small town. That number increased by 75% per year after 1985. How many subscribers were there in 1994? (Round to nearest whole.)

You inherited land purchased for $30,000 in 1970. The value of the land increased by 5% each year. What would the value of the land be in 2021? (Write in terms of dollars and cents.)

What type of function is f(x)=2(1/7)^x ?

• Exponential Growth

• Linear

• Exponential Decay

• None of the Abovee

What indicates growth or decay in f(x)= a⋅b^x

• If b is positive or negative

• If b is between 0 and 1 OR greater than 1

• If a is positive or negative

• If a is between 0 and 1 OR greater than 1

Milton has his money invested in a stock portfolio. The value, v(x), of his portfolio can be modeled with the function v(x) = 30,000(0.78)^x, where x is the number of years since he made his investment. Which statement describes the rate of change of the value of his portfolio?

• It decreases 78% per year.

• It decreases 22% per year.

• It increases 78% per year.

• It increases 22% per year.

Milton has his money invested in a stock portfolio. The value, v(x), of his portfolio can be modeled with the function v(x) = 30,000(0.78)^x , where x is the number of years since he made his investment. Which statement describes the rate of change of the value of his portfolio?

• It decreases 78% per year.

• It decreases 22% per year.

• It increases 78% per year.

• It increases 22% per year.

• The rate of change is a constant $30,000

The amount of ants in a colony, f, that is decaying can be modeled by                      f(x) = 800(.87)^x, where x is the number of days since the decay started. By what percentage is the colony decaying?

• 87%

• 13%

• 800%

• 8.7%