WorksheetsWriting Exponential equation
Total questions: 18
Worksheet time: 41mins
Name
Class
Date
1.
Is this exponential growth or decay?
a)
Growth
b)
Decay
2.
Is the pictured graph growth, decay, or linear or none?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
3.
Identify the b-value:
y = 6.87 (4)x
a)
b= 4
b)
b = 6.87
c)
b = 3
d)
b = 1
4.
Is this exponential growth or decay?
a)
Growth
b)
Decay
5.
What is the y intercept of the graph?
a)
(0, 4)
b)
(-∞, + ∞)
c)
(4,0)
d)
there are no y intercepts
6.
In an exponential function, what does the 'a' represent?
a)
Slope
b)
Rate of change
c)
Y-intercept
d)
Multiplier
7.
What is the equation of the horizontal asymptote for following exponential function? (line that graph gets really close to but never intersects)
a)
y = -4
b)
y > -4
c)
y < -4
d)
(0, -3)
8.
55% is written as___ as a decimal.
a)
55
b)
0.055
c)
5.5
d)
0.55
9.
What is the graph of the function
y=5⋅2x
a)
b)
c)
d)
10.
Which of the following is an increasing exponential function whose y-intercept is 50?
a)
y = 50(.05)x
b)
y = 50x - 4
c)
y = (2)x + 50
d)
y = 50(1.4)x
11.
The amount of ants in a colony, f, that is decaying can be modeled by f(x) = 800(.87)x, where x is the number of days since the decay started. By what percentage is the colony decaying?
a)
87%
b)
13%
c)
800%
d)
8.7%
12.
The expression 12(1.015)t models the population of elephants in a wildlife refuge after t years since 1975.
Is the population of elephants increasing or decreasing?
Is the population of elephants increasing or decreasing?
a)
Increasing
b)
Decreasing
13.
A collectible car has been going up in price by 10% each year. If the car is already worth $29,000, how much will the car be worth in 5 years?
a)
$0.29
b)
$2,900,000,000
c)
$46,704.79
d)
$145,000
14.
The expression 12(1.015)t models the population of elephants in a wildlife refuge after t years since 1975.
What does the value 12 represent?
What does the value 12 represent?
a)
The predicted increase in number of elephants in the refuge each year.
b)
The predicted decrease in number of elephants in the refuge each year.
c)
The number of years it will take for the elephant population to stop increasing.
d)
The initial amount of elephants in the park.
15.
Write the exponential regression equation for this data.
a)
Y = 8.16(2.7)X
b)
Y = 81.6(2.7)X
c)
Y = 8.16(.27)X
d)
Y = 8.16(27)X
16.
Use the exponential regression to find an equation that fits the data, where x is the years since 1990.
a)
y=8.92•1.23x
b)
y=1.23•8.92x
c)
y=8.92+1.23x
d)
y=8.92x+1.23
17.
What is the equation of this table?
a)
y=512(1/4)x
b)
y=32(4)x
c)
y=32(1/4)x
d)
y=512(4)x
18.
a)
x > 0
b)
y > 0
c)
-∞ < x < ∞
d)
-∞ < y < ∞
100 %
