Question

Greg is training for the upcoming basketball season. His schedule this week allows him to complete at most 8 training sessions. When Greg trains, he either spends 45 minutes on skills or 35 minutes on conditioning. To avoid excess fatigue, his coach requires Greg to spend no more than 360 minutes training in any week.

Which system of inequalities can be used to determine the time spent on skills, x, and the time spent on conditioning, y, that Greg can complete this week?

Answer 1

A

Explanation:

Answer 2

`\left\{\begin{array}{l}x+y\le360\\ \\(x)/(45)+(y)/(35)\le 8\end{array}\right..`

Explanation:

Let x minutes be the time spent on skills and y minutes be the time spent on conditioning that Greg can complete this week.

1. To avoid excess fatigue, his coach requires Greg to spend no more than 360 minutes training in any week, then

`x+y\le 360.`

2. When Greg trains, he either spends 45 minutes on skills or 35 minutes on conditioning. If Greg spends x minutes on skills, then
`(x)/(45)` is the number of skills training sessions. If Greg spends y minutes on conditioning, then
`(y)/(35)` is the number of conditioning training sessions. His schedule this week allows him to complete at most 8 training sessions, then

`(x)/(45)+(y)/(35)\le 8.`

Therefore, the following system of inequalities can be used to determine the time spent on skills, x, and the time spent on conditioning, y, that Greg can complete this week

`\left\{\begin{array}{l}x+y\le360\\ \\(x)/(45)+(y)/(35)\le 8\end{array}\right..`