Exponential Rates of Growth or Decay

Solve for the variable. Round to the nearest hundredth, if necessary.  Make sure to add commas and decimals when needed.

y = 250,000(0.93)²

Every time Pinocchio lies, his nose doubles in size.  His nose is 1.5 inches long before he has told any lies.

Calculate how many inches Pinocchio’s nose will be after 4 lies.

The table below represents the growth of an investment account over 3 decades. What is the growth factor of this function?

The table below represents the growth of an investment account over 4 years. What is the growth factor of this function?

What is the growth FACTOR for the function: f(x) = 300(1.46)^x?

• 300

• 1.46

• .46

• 46%

A population of 1500 deer decreases by 1.5% per year. In 10 years there will be 1290 deer. Identify the decay FACTOR, the "b-value".

• 0.85

• 0.015

• 1.015

• 0.985

A population of 1500 deer decreases by 1.5% per year. In 10 years there will be 1290 deer. Which function can be used to determine the number of deer, y, in this population at the end of x years?

• y = 1500(0.985)^X

• y = 1500(0.015)^X

• y = 1500(1.015)^X

• y = 1500(1.5)^X

Which function represents an exponential function?

An exponential equation represents growth if

• b > 1

• b < 1

• b = 0

An exponential equation represents decay if

• b > 1

• b < 1

• b = 0