Exponential Functions from Percent Change

What is the decimal representation of 100%?

• 100

• 1

• 0.1

• 10

If a plant grows by 50% of its original height in one week, what will be its total height as a percentage of its original height?

• 200%

• 150%

• 100%

• 50%

What is the growth factor if a tree grows by 15% every year?

• 0.85

• 0.15

• 1.5

• 1.15

How do you calculate the growth factor for a herd that grows by 6% every year?

• 1 + 0.06

• 1 - 0.06

• 0.06

• 6

What is the growth factor if a pool loses 5% of its volume every hour?

• 1.5

• 0.05

• 0.95

• 1.05

What is the growth factor if a value depreciates by 12%?

• 0.12

• 0.88

• 1.88

• 1.12

Which of the following represents the exponential function for a bacterial culture that grows at a rate of 18% each day, starting with 500 bacteria?

• y = 500 * 1.18^x

• y = 500 * x^1.18

• y = 500 + 1.18^x

• y = 1.18 * 500^x

If a value depreciates by 12%, what is the correct exponential function given a starting amount of 13,500?

• y = 13500 * 1.12^x

• y = 13500 * 1.88^x

• y = 13500 * 0.88^x

• y = 13500 * 0.12^x

What does the term 'depreciate' mean in the context of exponential functions?

• Increase in value

• Decrease in value

• Remain constant

• Fluctuate randomly

Which of the following is the correct exponential function for a value that grows at a rate of 4 times the original amount?

• y = 4 * x^0.65

• y = 4 * 0.65^x

• y = 0.65 * 4^x

• y = 0.65 + 4^x