Writing Exponential Functions

Front

A tennis tournament begins with 128 players. At the end of round one, there will be 64 players. There are 32 players at the end of round 2 and 16 players remaining after round 3. Write the equation that best models this situation.

Back

y = 128(0.5)^x

Front

Write an exponential function to model the situation: The cost of tuition at a college is $12,000 and is increasing at a rate of 6% per year.

Back

C(t) = 12000(1.06)^t

Front

Function modeling the amount of cola in gallons after h hours, starting with 75 gallons and decreasing by 5% each hour.

Back

f(h) = 75(.95)^h

Front

Which statement about the function y = 24,220 (0.85)^x is NOT true?

Back

Mr. Bittle loses 85% of his investment monthly

Front

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

Back

B(t) = 1500(1.035)^t

Front

Write an exponential function to model the situation. The value of a car is $18000 and is depreciating at a rate of 12% per year. Options:

V(t) = .88(18000)^t

,

V(t) = .12(18000)^t

,

V(t) = 18000(.88)^t

,

V(t) = 18000(.12)^t

Back

V(t) = 18000(.88)^t

Front

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

Back

800

Front

Decay rate for the function: f(x) = 800(0.85)^x?

Back

15%

Front

What is the decay rate of a car valued at $15,000 that depreciates at a rate of 8% per year?

Back

8%

Front

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?

Back

y = 15,000(0.92)^x