A major teach company, Expo Grow, is growing fast. The number of employees, y, can be found using y=3(4)^x where x is the years since the company was founded. Describe the growth.
The number of employees quadruple each year.
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15
Write an equation to represent the table.
y=11(3)^x
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15
There are currently 1800 trout in a lake. The Fish and Game Dept found that each week 33 percent of the fish die. Write an equation to model the number of fish in the lake.
y=1800(0.67)^x
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10
Complete the table.
20, 60, 180
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15
Write an equation to represent the table.
y=600(0.5)^x
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5
What type of graph is created by the equation y = ab^x?
Exponential
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10
Is the equation y = 5(-4)^x an exponential? Explain your reasoning.
No. The b-value cannot be negative.
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5
How can you tell if an equation is exponential growth?
b>1
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10
Write an equation to represent the graph.
y=1(0.25)^x
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10
Write an equation to represent the table.
y=7(2)^x
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5
How can you tell if an equation is exponential decay?
0<b<1
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15
What is the asymptote of all the exponential functions we have studied so far?
The x-axis or y = 0.
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15
Arnold dropped a ball and recorded its height in the table shown. Write an equation to represent the data.
