Exponential Growth and Decay Factors and Rates

If something has exponential growth, the "b" value is _____?

• equal to 1

• greater than 1

• less than 1

• between 0 and 1

If something has a 5% growth rate, the growth factor is ______.

• 1

• 1.5

• 1.05

• 5

• 4%

• .4%

• 40%

• 60%

• Growth rate

• Growth Factor

• Decay Rate

• Decay Factor

A scientist is studying the growth rate of a certain bacteria when it is starved of nutrients. The graph represents the number of bacteria (y) over time (x).

Every minute the number of bacteria is decreasing by approximately what percent?​ ​ ​ ​ (a)  

After the first 30 minutes, how many bacteria died off?​ (b)  

After 50 minutes, there was a total of how many bacteria?​ (c)  

What is the initial amount of bacteria?​ (d)  

• 3

• 30,000

• 10,000

• 80,000

• Exponential Growth

• Linear

• Exponential Decay

• None of the Abovee

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay rate?

• ^0.08

• ^1.08

• 0.92

• 8%

What is the growth factor of the situation represented by f(x)=10(0.3)^x?

• 10

• 0.3

• 1

• 3

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

• Exponential Growth

• Linear

• Exponential Decay

• None of the Abovee

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.