Exponential Functions and Growth Rates

The video tutorial explains how to write exponential growth functions using initial values and growth rates expressed as percentages. It covers converting growth rates to decimals, formulating exponential equations, and entering these functions into online homework systems. The tutorial emphasizes understanding the components of exponential functions, such as the initial value, growth rate, and growth factor, and provides step-by-step instructions for calculations and input methods.

What is the general form of an exponential growth function?

• F(x) = A - B^x

• F(x) = A / B^x

• F(x) = A * B^x

• F(x) = A + B^x

How do you convert a percentage to a decimal?

• Subtract 100

• Multiply by 100

• Add 100

• Divide by 100

What is the decimal equivalent of 18%?

• 0.18

• 1.8

• 0.018

• 18.0

If the growth rate R is 0.045, what is the growth factor B?

• 0.045

• 1.45

• 0.955

• 1.045

For an initial value of 550 and a growth rate of 18%, what is the exponential growth function?

• F(x) = 550 * 1.18^x

• F(x) = 550 * 0.018^x

• F(x) = 550 * 1.8^x

• F(x) = 550 * 0.18^x

What is the exponential growth function for an initial value of 2,200 and a growth rate of 4.5%?

• F(x) = 2,200 * 1.045^x

• F(x) = 2,200 * 0.045^x

• F(x) = 2,200 * 1.45^x

• F(x) = 2,200 * 0.0045^x

How would you express a growth rate of 115% as a decimal?

• 1.15

• 0.115

• 11.5

• 115.0

What is the exponential growth function for an initial value of 192 and a growth rate of 115%?

• F(x) = 192 * 2.15^x

• F(x) = 192 * 1.15^x

• F(x) = 192 * 1.5^x

• F(x) = 192 * 0.15^x

Which key is used to enter the exponent in the online homework system?

• Shift 6

• Shift 7

• Shift 8

• Shift 5

What should you do to ensure the computer interprets your function entry correctly?

• Use the save button

• Use the reset button

• Use the preview button

• Use the submit button