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Creating Exponential Equations

Total questions: 15

Worksheet time: 32mins

Name
Class
Date
1.
What is the y-intercept?
a)
0
b)
5
c)
1
d)
2
2.
What is the y-intercept?
a)
0
b)
25
c)
1
d)
2
3.
The following graph shows the population growth for a species. What is the growth factor? Hint: What do you have to multiply by to get from one point to the next?
a)
2
b)
1/2
c)
4
d)
1/4
4.
Write the equation for the following graph.
a)
y = 25(2)x
b)
y = 2(25)x
c)
y = 25(1/2)x
d)
y = 2(1/25)x
5.
For which equation/graph is (5,1215) a solution?
a)
Species X
b)
Species Y
6.
Identify the common ratio (multiplier) of the function f(x)=2(4)x.
a)
2
b)
4
c)
(2)x
d)
8
7.
Which function represents the table of values? 
a)
f(x) = 4x
b)
f(x) = x3
c)
f(x) = 4x
d)
f(x) = 4x-1
8.
What is the equation for the table?
a)
y = 4(2)x
b)
y = 2(4)x
c)
y = 2(8)x
d)
y = -2(4)x
9.
Write the equation for the table?
a)
y = 2(20)x
b)
y = -2(20)x
c)
y = 20(2)x
d)
y = 20(.5)x
10.

Write the exponential equation that represents the given graph.

a)

 y=34xy=3\cdot4^x 

b)

 y=39xy=3\cdot9^x 

c)

 y=3+9xy=3+9x 

d)

 y=3+4xy=3+4x 

11.

Write the exponential equation that represents the given graph.

a)

y=120.5xy=12-0.5x

b)

y=120.5xy=12\cdot0.5^x

c)

y=122xy=12\cdot2^x

d)

y=126xy=12-6x

12.

Write the exponential equation that represents the given table.

a)

y=804xy=80\cdot4^x

b)

y=8014xy=80\cdot\frac{1}{4}^x

c)

y=8060xy=80-60x

d)

y=80+14xy=80+\frac{1}{4}x

13.
The following graph shows the population growth for a species. What is the growth factor? Hint: What do you have to multiply by to get from one point to the next?
a)
3
b)
1/3
c)
9
d)
1/9
14.

Write the exponential equation that represents the given table.

a)

y=21xy=2\cdot1^x

b)

y=1x+2y=1x+2

c)

y=2+1.5xy=2+1.5x

d)

y=21.5xy=2\cdot1.5^x

15.
Who are they?
a)
Spongebob and Patrick
b)
Max and Ruby
c)
Phineas and Ferb
d)
Phineas and Pherb