Exponential Models

Is the following function an example of decay or growth?

f(x) = 2(1.25)^x

• Exponential Growth

• Exponential Decay

Marilyn collects old dolls. She purchases a doll for $450. Research shows this doll's value will increase by 2.5% each year. Write an equation that determines the value, y, of the doll x years after purchase.

Mathematical Equivalence

ON

A car was purchased for $25,000. Research shows that the car has an average yearly depreciation rate of 18.5%. Create a function that will determine the value, y, of the car x years after purchase.

Mathematical Equivalence

ON

A population of 1500 deer decreases by 1.5% per year. At the end of 12 years, approximately how many deer will be in the population? Round to nearest whole number.

Mathematical Equivalence

ON

Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week. How long will Samantha's hair be after 6 weeks? Round your answer to a whole number.

Mathematical Equivalence

ON

Find the balance in the account after the given period.

$5000 deposit earning 1.5% compounded quarterly after 3 years.

Mathematical Equivalence

ON

An investment of $9,875 earns 4.8% interest compounded monthly over 12 years. Approximately how much INTEREST is earned on the investment?

Mathematical Equivalence

ON

If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?

Mathematical Equivalence

ON

Write an exponential growth model in the form

y = a ⋅ b^x of the graph that passes through the points (3, 5) and (4, 10).

Mathematical Equivalence

ON