Do Now1) A set of golf clubs is regularly priced at

$359.99.

a) If it goes on sale for 30% off, find the sale price of the set of golf clubs.

b) If the sales tax is 8%, find the total price of the set of golf clubs.

Exponential Growth & DecayExponential Growth (Appreciation) is when something increases at a constant rate over time.

Exponential Decay (Depreciation) is when something decreases at a constant rate over time.

a(1 ± r)t

a = original amountr = rate (changed to a decimal)t = time passed

*Add for Growth *Subtract for Decay

2) Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates (loses value) at

a rate of 5%. What will its approximate value be at the end of the fourth year to the nearest cent?

3) Cassandra bought an antique dresser for $500. If the value of her dresser increases 6% annually, what will be the value of Cassandra's dresser at

the end of 3 years to the nearest dollar?

4) Kathy plans to purchase a car that depreciates (loses value) at a rate of 14% per year. The initial cost of the car is $21,000. What is the value of the car after 3 years to the nearest cent?

5) A bank is advertising that new customers can open a savings account with a interest rate compounded annually. Robert invests $5,000 in an account at this rate. If he makes no additional deposits or withdrawals on his account, find the amount of money he will have, to the nearest cent, after three years.

6) Shayna plans to purchase a video game system that depreciates (loses value) at a rate of per year.

The initial cost of the video game system is $499.99. What is the value of the video game system after 4 years to the nearest cent?

7) A mouse population starts with 2,000 mice and grows at a rate of 5% per year. The number of mice after t years can be modeled by the equation . What is the average

rate of change in the mice between the second year and the fifth year, round to the nearest whole number number?

8) Which equation illustrates how the expression can be rewritten to approximate the equivalent monthly interest rate if the annual rate is ?

a)

b)

c)

d)

9) Jeff bought a new car for . He knows the car’s value will decrease by each year. Jeff writes the following function to model the cost of his car after years: . If Jeff plans to sell the car after five years, what will be the value of the car at that

time to the nearest dollar?

10) A small country in Europe has been experiencing population growth that can be modeled by the equation where is the population of the country and is the number of years since . What is the percent of change in the population of the country each year?

11) Which function represents exponential decay?

a)

b)

c)

d)

Homework

Exponential Growth &

Decay HW

* Thursday is the

last day to make up work *