Exponential Functions Decay Growth Word Problems

Write an exponential function to model the situation. You invest $1500. Your investment increases at a rate of 3.5%.

• B(t) = 1500(0.965)^t

• B(t) = 1500(1.035)^t

• B(t) = 1500(.035)^t

• B(t) = 1500(1.965)^t

What is the a-value (or y-intercept) for the function: f(x) = 800(0.85)^x?

• 800

• 0.85

• 0.15

• x

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation that models this situation?

• y = 8(15,000)^x

• y = 15,000(1.08)^x

• y = 15,000(0.92)^x

• y = 15,000(0.08)^x

The equation f(x) = 300(1.06)^x is being used to calculate the amount of money in a savings account.  What does the 1.06 represent?

• 6% growth

• 6% decay

• 1.06% growth

• .06% decay

What is the growth factor?

• $35,000

• 0.05

• 1.05

• 0.95

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates (loses value) at a rate of 5%.

Does this situation represent growth or decay?

• growth

• decay

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates (loses value) at a rate of 5%.

Write the equation that represents the situation.

Write the equation using this format with no spaces:

y=a(b)^x

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates (loses value) at a rate of 5%. What will its approximate value be at the end of the 4th year?

• $33,250.00

• $30,008.13

• $28,507.72

• $27,082.33

Cassandra bought an antique dresser for $500. The value of her dresser increases 6% annually.

What is the growth rate?

• 500

• 0.06

• 1.06

• 0.94

Cassandra bought an antique dresser for $500. The value of her dresser increases 6% annually.

What is the growth factor?

• 500

• 0.06

• 1.06

• 0.94