Exponential Growth and Decay Compounded

What type of function is y = 7(5/4)^x?

• Exponential GROWTH

• Exponential DECAY

• Linear

• Not a function

In an exponential function, what does the a value represent?

• Rate of growth or decay

• Slope

• Initial value

• Exponent

Does the function represent a growth or decay function?

• Exponential GROWTH

• Exponential DECAY

The value of a car is $15,000 and decreases at a rate of 8% per year. What is the decay factor?

• 0.08

• 0.92

• 1.08

• 8

Which of the functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x

• y = 15(0.35)^x

• y = 35(1.15)^x

• y = 15(1.35)^x

There is a culture of bacteria that begins with 5000 cells and dies by 30% each year. Write an exponential model to represent the situation.

• y = 5000(0.70)^x

• y = 30(5000)^x

• y = 5000(1.30)^x

• y = 5000x^x

The population of mosquitoes at the beginning of the summer is 4000. The population grows at a rate of 25% a month. How many will there be after 4 months?

• 9766

• 9006

• 9765

• 5433

You put $1500 into an account that earns 4% interest. How much will be in the account after 6 years if the account is compounded monthly?

• $1530.25

• $1561.11

• $1897.98

• $1906.11

What are two points on the graph of y = 5(3)^x?

• (0, 3) and (1, 15)

• (0, 5) and (1, 15)

• (0, 3) and (1, 5)

• (0, 5) and (1, 3)

Is the pictured graph growth, decay, or linear or none?  

• Exponential Growth

• Exponential Decay

• Linear

• None