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?
Answer:
The inequality is \(0.75x\geq y\)
Step-by-step explanation:
Given : 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.
To find : Which inequality represents this situation?
Solution : He plays trumpet for a minimum of 45 minutes
\(45 \text{minutes}=\frac{45}{60}=\frac{3}{4}=0.75\text{hours}\)
If x is the number of days that Lionel practices then he practices for at least
\(=0.75x\) hours
y is the total number of hours he spends practicing
So, the inequality form is:
\(0.75x\geq y\)
i.e, 0.75x is greater than y.