Exponential Growth and Decay

Front

What is a, the initial amount, for the function: f(x) = 300(1.16)^x?

Back

300

Front

What is the formula for exponential growth?

Back

Front

Formula for exponential decay?

Back

Front

Marburn has 80 total students in our High School. It is projected to grow at rate of 2% every year. How many students will be in the High School in 5 years from now?

Back

88.3 students

Front

The population of a town is decreasing at a rate of 5% per year. This year there are 10,000 people in this town. How many people will be left in 20 years from now?

Back

3,585 people

Front

This is an example of:

Linear Growth

,

Linear Decay

,

Exponential Growth

,

Exponential Decay

Back

Exponential Growth

Front

Middletown High School has student elections every year. Lately, the school has seen a 5% decrease in voting from election to election. If 910 students voted this year, how many will be expected to vote 8 years from now? (Round to the nearest whole number if necessary).

Back

604

Front

Your new computer cost $1500 but it depreciates in value by about 18% each year. How much will your computer be worth in 6 years?

Back

$456.01

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

To find the number of mosquitoes after 4 months, we can use the formula: $P = P_0(1 + r)^t$, where $P_0$ is the initial population, $r$ is the growth rate, and $t$ is the time in months. Here, $P_0 = 4000$, $r = 0.25$, and $t = 4$. Thus, $P = 4000(1 + 0.25)^4 = 4000(1.25)^4 = 4000(2.44140625) \approx 9765$.

Front

Printer worth after 8 years with 5% annual depreciation on $35,000?

Back

$23,219.72