3.1 Exponential Growth and Decay

Front

What does the model P=A(1+r)^t best represent? Options: Exponential growth, Simple Interest, Compound Interest, Exponential Decay

Back

Exponential growth

Front

What type of function is f(x)=2(1/7)^x? Options: Exponential Growth, Linear, Exponential Decay, None of the Above

Back

Exponential Decay

Front

Balance of $6000 compounded annually at 4% for 10 years?

Back

$8,881.47

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 for exponential growth: $P = P_0(1 + r)^t$, 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

What type of function is y = 7(5/4)^x? Options: Exponential Growth, Exponential Decay, Linear, None of the above

Back

Exponential Growth

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

Is this exponential growth or 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

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

Back

4309

Front

Printer depreciation: $35,000 initial value, 5% annual depreciation, 8 years.

Back

$23,219.72