Exponential Growth and Decay Assess

Front

What is the formula for exponential growth?

Back

f(t) = a(1 + r)^t, where a is the initial amount, r is the growth rate, and t is time.

Front

What is the formula for exponential decay?

Back

f(t) = a(1 - r)^t, where a is the initial amount, r is the decay rate, and t is time.

Front

How do you convert a decimal to a percent?

Back

Multiply the decimal by 100 and add a percent sign.

Front

What is the decay factor if the decay rate is 15%?

Back

0.85 (calculated as 1 - 0.15).

Front

If a population of 2000 decreases by 10% per year, what is the population after 1 year?

Back

1800 (calculated as 2000 * (1 - 0.10)).

Front

What does a growth rate of 5% mean in terms of the growth factor?

Back

The growth factor is 1.05 (calculated as 1 + 0.05).

Front

How do you express 0.75 as a percent?

Back

75% (calculated as 0.75 * 100).

Front

What is the relationship between the decay rate and the decay factor?

Back

The decay factor is calculated as 1 minus the decay rate.

Front

If a quantity decreases from 500 to 400, what is the percent decrease?

Back

20% (calculated as (500 - 400) / 500 * 100).

Front

What is the initial amount in the function f(x) = 50(0.9)^x?

Back

50 (the initial amount before decay).