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?

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joaobezerra joaobezerra · Answer 1 · 2021-03-18T01:37:45+01:00

Answer:

[tex]35 + 4x > 67[/tex]

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

Step-by-step 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:

[tex]D(x) = 35 + 4x[/tex]

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

This means that:

[tex]D(x) > 67[/tex]

[tex]35 + 4x > 67[/tex]

The inequality is:

[tex]35 + 4x > 67[/tex]

Solution:

[tex]4x > 32[/tex]

[tex]x > \frac{32}{4}[/tex]

[tex]x > 8[/tex]

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