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WorksheetsWriting Exponential Functions
Total questions: 25
Worksheet time: 2hrs 5mins
Solve for the value of x.
1100 = 11x2
x=100
x=5
x=11
x=10
Solve for the value of x.
500 = 4x3
x=3
x=5
x=2
x=125
Write an exponential function in the form y=abx that goes through points (0,13) and (5,416).
y=13(32)x
y=13(2)x
y=13(5)x
y=2(13)x
Write an exponential function in the form y=abx that goes through points (0,4) and (2,324).
y=4(9)x
y=9(4)x
y=2(4)x
y=4(81)x
Write an exponential function in the form y=abx that goes through points (0,9) and (3,72).
y=9(3)x
y=2(9)x
y=9(2)x
y=8(3)x
Write an exponential function in the form y=abx that goes through points (0,10) and (2,160).
y=10(2)x
y=4(10)x
y=16(4)x
y=10(4)x
Which equation describes the story below?
You start with $5 and triple your money every day.
y=5(3)x
y=5x
y=5(3x)
y=15x
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. What will the cost be after 4 years?
C(t) = 12000(1.06)t ; $3149.72
C(t) = 12000(.06)t ; $3149.72
C(t) = 12000(.06)t ; $1472.95
C(t) = 12000(1.06)t ; $15149.72
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
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
What is the a-value (or y-intercept) for the function: f(x) = 800(0.85)x?
800
0.85
0.15
x
What is the decay rate for the function: f(x) = 800(0.85)x?
800
0.85
15%
x
The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?
0.08
1.08
0.92
8
Write an exponential function to model the situation. Then solve.
The value of a car is $18000 and is depreciating at a rate of 12% per year. What will the value of the car be after 10 years?
V(t) = 18000(.88)t ; $12986.98
V(t) = 18000(.12)t ; $12986.98
V(t) = 18000(.88)t ; $5013.02
V(t) = 18000(.12)t ; $5013.02
Determine if the equation y = 15(1.35)x represents exponential growth or decay and justify. Hint: Think about the growth and decay equations.
Growth, because the scale factor is greater than 1
Growth, because the scale factor is less than 1
Decay, because the scale factor is greater than 1
Decay, because the scale factor is less than 1
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
Write an exponential function in the form y=abx that goes through points (0,13) and (2,325).
y=13(5)x
y=13(2)x
y=5(13)x
y=2(5)x
Write an exponential function in the form y=abx that goes through points (0,15) and (2,240).
y=2(15)x
y=2(4)x
y=4(15)x
y=15(4)x
Write an exponential function in the form y=abx that goes through points (0,2) and (3,128).
y=2(3)x
y=2(4)x
y=3(4)x
y=4(2)x
Write an exponential function in the form y=abx that goes through points (0,18) and (2,288).
y=18(4)x
y=4(2)x
y=4(18)x
y=2(4)x
Write an exponential function in the form y=abx that goes through points (0,6) and (2,96).
y=6(2)x
y=2(4)x
y=4(6)x
y=6(4)x
