Question

write and solve an inequality to determine how many hours she must train if she burns an average of 750 calories per hour and eats a total of 8000 calories​

Answer 1

The required inequality:
`8000-750h\leq 2000`

She must train at least 8 hours.

Explanation:

Consider the provided information.

An athlete wants to maintain a net caloric intake of no more than 2,000 calories for the day.

We need to determine how many hours she must train if she burns an average of 750 calories per hour and eats a total of 8000 calories​.

Let the number of hours is h.

She burns an average of 750 calories per hour so for h hours she will burns 750h calories.

She want to maintain no more than 2,000 and she eats a total of 8000 calories​.

Therefore, the required inequality:

`8000-750h\leq 2000`

Now solve the inequality as:

`-750h\leq 2000-8000`

`-750h\leq -6000`

`h\geq (-6000)/(-750)`

`h\geq 8`

Hence, she must train at least 8 hours.