Question

A farming community begins with one resident. Then every year, the number of residents multiplies by 10. Write an expression using an exponent to represent the number of residents in the community after 5 years.

Answer 1

The exponential equation that gives the number of residents in the community after 5 years is:

$y(5) = 10^5$

What is an exponential equation?

It is modeled by:

$y = ab^x$

In which:

• a is the initial value.

• b is the rate of change.

In this problem:

• A farming community begins with one resident, hence a = 1.

• Then every year, the number of residents multiplies by 10, hence b = 10.

Then, the equation is:

$y = ab^x = 10^x$

Hence, after 5 years, the population is:

$y(5) = 10^5$

More can be learned about exponential equations at https://brainly.com/question/25537936