The function $g$ models the anticipated population of an Ohio town in terms of the number of years since 2015 $g(n)=100,000(0.80)^{n}$.
By what percentage does this population change each year as the number of years changes from $2015 ?$
$-20 \%$
$-80 \%$
$120 \%$
$20 \%$
$80 \%$

Answer

Expert–verified

Hide Steps

Answer

Final Answer: The population changes by approximately $\boxed{-20\%}$ each year.

Steps

Step 1 ：The function $g(n)=100,000(0.80)^{n}$ models the population of the town. The base of the exponent, 0.80, represents the rate of change each year. Since it is less than 1, it indicates a decrease in population each year.

Step 2 ：The percentage change can be calculated as $(1 - 0.80) * 100\%$.

Step 3 ：Final Answer: The population changes by approximately $\boxed{-20\%}$ each year.

The function $g$ models the anticipated population of an Ohio town in terms of the number of years since 2015 $g(n)=100,000(0.80)^{n}$.By what percentage does this population change each year as the number of years changes from $2015 ?$$-20 \%$$-80 \%$$120 \%$$20 \%$$80 \%$

Answer

Popular Problems

The function $g$ models the anticipated population of an Ohio town in terms of the number of years since 2015 $g(n)=100,000(0.80)^{n}$.
By what percentage does this population change each year as the number of years changes from $2015 ?$
$-20 \%$
$-80 \%$
$120 \%$
$20 \%$
$80 \%$