Exponential Functions and Growth Rates

What is the initial value A in the exponential function F(t) = 100e^(0.2t)?

• 100

• 200

• 50

• 150

What does the coefficient 0.2 in the function F(t) = 100e^(0.2t) represent?

• Base value

• Decay rate

• Continuous growth rate

• Initial value

In the function G(t) = A * B^t, what does B - 1 represent?

• Initial value

• Continuous growth rate

• Growth rate per unit time

• Decay rate

What is the value of F(0) in the function F(t) = 100e^(0.2t)?

• 0

• 100

• 200

• 50

What is the approximate value of F(1) in the function F(t) = 100e^(0.2t)?

• 100

• 110

• 122.14

• 150

How do you calculate the base B in the function G(t) = 100 * B^t?

• Subtract 100 from 122.1403

• Divide 122.1403 by 100

• Multiply 100 by 122.1403

• Divide 100 by 122.1403

What is the calculated base B for the function G(t) = 100 * B^t?

• 2.0

• 0.8

• 1.2214

• 1.5

What is the growth rate per year if T is in years for the function G(t) = 100 * 1.2214^t?

• 20%

• 30%

• 22.14%

• 25%

What feature of the graphing calculator is used to compare the function values of F(t) and G(t)?

• Equation solver

• Graph feature

• Table feature

• Matrix calculator

Why might there be a slight difference in the values of Y1 and Y2 when comparing F(t) and G(t)?

• Incorrect initial value

• Rounding of base B

• Wrong function input

• Calculator error