Question

Tammy must run more than 67 miles total to reach her fitness goals. She has already run 35 miles and runs 4 miles per day, Which

of the following inequalities could be used to solve for x, the number of days Tammy still needs to run to reach her fitness goals?

Answer 1

`35 + 4x > 67`

To reach her fitness goal, she needs to run for more than 8 days.

Explanation:

She has already run 35 miles and runs 4 miles per day:

This means that after x days, the distance she will have run is:

`D(x) = 35 + 4x`

Tammy must run more than 67 miles total to reach her fitness goals.

This means that:

`D(x) > 67`

`35 + 4x > 67`

The inequality is:

`35 + 4x > 67`

Solution:

`4x > 32`

`x > (32)/(4)`

`x > 8`

To reach her fitness goal, she needs to run for more than 8 days.