Question

lionel plays trumpet for a minimum of 45 minutes on the days that he practices. if x is the number of days that lionel practices and y is the total number of hours he spends practicing, which inequality represents this situation?
$y \leq 0.75x$
$0.75y \geq x$
$0.75y \leq x$
$y \geq 0.75x$

Explanation:

Step1: Convert minutes to hours

45 minutes = $\frac{45}{60} = 0.75$ hours

Step2: Define total minimum practice time

Minimum total hours = $0.75x$

Step3: Set up inequality for total hours

Total hours $y$ is at least the minimum, so $y \geq 0.75x$

Answer:

$y \geq 0.75x$