WorksheetsWriting and Graphing Exponential Functions
Total questions: 7
Worksheet time: 18mins
Name
Class
Date
1.
What is the equation of the graph shown, and what is the y-intercept?
a)
y = 1⁄3 (3)x ; a = 1⁄3
b)
y = 1⁄3 (3)x ; a = 3
c)
y = 3 (1/3)x ; a = 1⁄3
d)
y = 3 (1/3)x ; a = 3
2.
What is the equation of the graph shown, and what is the y-intercept?
a)
y = -4 (2)x ; a = 4
b)
y = 2 (4)x ; a = 2
c)
y = -2 (4)x ; a = 4
d)
y = -2 (4)x ; a = -2
3.
Identify the y-intercept and the initial value in the function f(x) = -2 (1/3)x .
a)
a = 1/3 ; b = -2
b)
a = -2 ; b = 1/3
c)
a = x ; b = -2
d)
a = -2 ; b = x
4.
Write an exponential function to model the situation. Solve.
2) 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?
2) 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?
a)
C(t) = 12000(1.06)t ; $3149.72
b)
C(t) = 12000(.06)t ; $3149.72
c)
C(t) = 12000(.06)t ; $1472.95
d)
C(t) = 12000(1.06)t ; $15149.72
5.
Write an exponential function to model the situation. Solve.
4) You invest $1500 at a rate of 3.5% compounded annually. What will the balance be after 4 years?
4) You invest $1500 at a rate of 3.5% compounded annually. What will the balance be after 4 years?
a)
B(t) = 1500(1.035)t ; $221.28
b)
B(t) = 1500(1.035)t ; $1721.28
c)
B(t) = 1500(.035)t ; $221.28
d)
B(t) = 1500(1.035)t ; $1628.85
6.
Write an exponential function to model the situation. Solve.
6) 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?
6) 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?
a)
V(t) = 18000(.88)t ; $12986.98
b)
V(t) = 18000(.12)t ; $12986.98
c)
V(t) = 18000(.88)t ; $5013.02
d)
V(t) = 18000(.12)t ; $5013.02
7.
Write an exponential function to model the situation. Solve.
8) Bismuth-214 has a half-life of approximately 20 minutes. Find the amount of Bismuth-214 left from a 30-gram sample after 1 hour.
8) Bismuth-214 has a half-life of approximately 20 minutes. Find the amount of Bismuth-214 left from a 30-gram sample after 1 hour.
a)
y = 30 (.5)t ; 15g
b)
y = 30 (.5)t ; 7.5g
c)
y = 30 (.5)t ; 3.75g
d)
y = 30 (.5)t ; 1.88g
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