Exponential Growth and Decay Equations
Authored by Amanda Ethridge
Mathematics
9th Grade
CCSS covered
Used 10+ times
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16 questions
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1.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
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.
y = -64x + 128
y = 0.5x + 128
y = 128(0.5)x
y = 128(2)x
Tags
CCSS.HSF.LE.A.2
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
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.
C(t) = 12000(.94)t
C(t) = 12000(1.94)t
C(t) = 12000(.06)t
C(t) = 12000(1.06)t
Tags
CCSS.HSF.LE.A.2
3.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
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
Tags
CCSS.HSF.LE.A.2
4.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
The function y = 24,220 (0.85)x represents Mr. Bittle's investment in the stock exchange where x is measured in months.
Which statement is NOT true.
Mr. Bittle loses 85% of his investment monthly
Mr. Bittle initially invested $24,220
Each month Mr. Bittle loses 15% of his investment
Tags
CCSS.HSF.LE.B.5
5.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Write an exponential function to model the situation. You invest $1500. Your investment escalates 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
Tags
CCSS.HSF.LE.A.2
6.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
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
Tags
CCSS.HSF.LE.A.2
7.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
What is the a-value (or y-intercept) for the function: f(x) = 800(0.85)x?
800
0.85
0.15
x
Tags
CCSS.HSF-IF.C.7E
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