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WorksheetsExponential Functions Growth and Decay Word Problems
Total questions: 10
Worksheet time: 10mins
A student invests $500 for 3 years in a savings account that earns 4% interest per year. No further deposits or withdrawals are made during this time. Which statement does not yield the correct balance in the account at the end of 3 years?
500(1.04)^3
500(1 - .04)^3
500(1+.04)(1+.04)(1+.04)
500 + 500(.04) + 520(.04) + 540.8(.04)
Fill in the blank: The principal amount of money is increasing at a ___% interest rate for A = P(1.025)^t.
25
2.5
0.25
52
A particular type of cell triples in number every hour. Which function can be used to find the number of cells present at the end of h hours if there are initially 6 of these cells?
f(h) = 3(6)h
f(h) = 6xh
f(h) = 6(3)h
f(h) = 3(6h)
The amount of cola in a soda machine decreases by a rate of 5% each hour. The amount of cola in the machine was originally 75 gallons. Which function models the amount of cola in gallons after h hours?
f(h) = 75(-5)h
f(h) = -5(75)h
f(h) = .95(75)h
f(h) = 75(.95)h
Write an exponential function to model the situation. Then solve.
The cost of tuition at a college is $12,000 and is increasing at a rate of 6% per year. Which equations represents this situation?
C(t) = 1.06(12000)t
C(t) = 12000(.06)t
C(t) = 12000(.06)t
C(t) = 12000(1.06)t
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
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
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.
V(t) = .88(18000)t
V(t) = .12(18000)t
V(t) = 18000(.88)t
V(t) = 18000(.12)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
