Question

Tammy must run more than 63 miles total to reach your fitness goals. She has already ran 31 miles and runs for 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 your fitness goals.

Answer 1

`31+4x > 63`

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

Explanation:

She has already run 31 miles and runs 4 miles per day:

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

`D(x)=31+4x`

Tammy must run more than 63 miles total to reach her fitness goals.

This means that:

`D(x) > 63`

`31+4x > 63`

The inequality is:

`31+4x > 63`

Solution:

`4x > 32`

`x > (32)/(4)`

`x > 8`

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