Exponential Functions

Front

Function with initial amount of $15 and 35% increase each year: y = 15(35)^x, y = 15(1.35)^x, y = 15(0.35)^x, y = 35(1.15)^x

Back

y = 15(1.35)^x

Front

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

Back

y=15,000(1 - .08)^x

Front

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?

Back

After 4 months, the population of mosquitoes will be approximately 9766.

Front

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?

Back

$23,219.72

Front

Is this exponential growth or decay?

Back

Decay

Front

Pick the equation that is exponential growth: y=2(0.5)^x, y = 0.5(2)^x

Back

y = 0.5(2)^x

Front

Classify the model: A=1200(.85)⁶
Options: Growth, Decay

Back

Decay

Front

Write an equation that models the following situation:
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.

Back

y=6(1.14)^x

Front

Which statement about the function y = 125(1.13)^x is NOT true? Options: Mr. Gantz initial invested $125, Mr. Gantz's money grows by 13% per year, After 4 years Mr. Gantz will have about $203.81, Mr. Gantz earns more money in year one than in year 5

Back

Mr. Gantz earns more money in year one than in year 5

Front

The amount of ants in a colony, f, that is decaying can be modeled by f(x) = 800(.87)^x, where x is the number of days since the decay started. By what percentage is the colony decaying?

Back

13%