Question

select the correct answer.
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?
a.
$45x + 35y \leq 360$
$x + y \leq 8$

b.
$45x + 35y \leq 360$
$x + y \geq 8$

c.
$45x + 35y \geq 360$
$x + y \leq 8$

d.
$45x + 35y \geq 360$
$x + y \geq 8$

Explanation:

Step1: Define total sessions limit

Let $x$ = skill sessions, $y$ = conditioning sessions. At most 8 sessions:
$x + y \leq 8$

Step2: Define total time limit

Each skill session is 45 mins, conditioning is 35 mins. Max 360 mins total:
$45x + 35y \leq 360$

Answer:

C. $45x + 35y \leq 360$
$x + y \leq 8$