Exponential Growth and Decay Rate

The following function represents a bank account. 
g(x) = 200(1.25)^x
What was the initial dollar amount put in the bank?

• $200

• $1.25

• $0.25

• $2.00

Your shiny new boat cost $7650.  The depreciation for your boat is 14% per year.  What is the equation that models this problem for the value of the vehicle in 3 years?

• y= 7650(.14)³

• y= 7650(.86)³

• y= 7650(-.14)³

• y= 7650(1.14)³

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

• f(x)=400(1.3)^x

• f(x)=400(.97)^x

• f(x)=400(1.03)^x

• f(x)=400(0.03)^x

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

• 9766

• 9006

• 9765

• 5433

What is the equation for this graph?

• y = 3(3)^x

• y = 3(2)^x

• y = 4.5(2)^x

• not enough information given

Write the equation that represents the table below:

• y=1/2(4)^x

• y=2(4)^x

• y=4(2)^x

• y=4(1/2)^x

Given the function h(x) =  3^x , find the value of x such that h(x)=27.

• 1

• 2

• 3

• 4

What is f(2) for  of the function?

• 12

• 5

• 4.5

• 6

Write a linear function that represents the situation shown.

• f(x) = 210000(1 - 0.125)^t

• f(x) = 210000(1 + 0.125)^t

• f(x) = 210000(1 - 0.0125)^t

• f(x) = 210000(1 + 0.0125)^t

Write a linear function that represents the situation shown.

• f(x) = 100000(0.8)^t

• f(x) = 100000(0.8)^t

• f(x) = 100000(1.02)^t

• f(x) = 100000(0.98)^t