Answer :
The inequality [tex]\( y \geq \frac{45}{60}x \)[/tex] ensures that Lionel practices for at least 45 minutes on each of the x days he practices, where x represents the number of days and y represents the total number of hours he spends practicing.
The situation can be represented by the inequality [tex]\( y \geq \frac{45}{60}x \)[/tex], where x is the number of days Lionel practices and y is the total number of hours he spends practicing.
To understand this inequality, let's break it down:
- Lionel practices for a minimum of 45 minutes each day. Since there are 60 minutes in an hour, this is equivalent to [tex]\( \frac{45}{60} \)[/tex] hours.
- The total number of hours Lionel spends practicing (y) must be greater than or equal to [tex]\( \frac{45}{60} \)[/tex] times the number of days he practices (x). This ensures that he practices for at least 45 minutes on each of the x days.
Therefore, the inequality [tex]\( y \geq \frac{45}{60}x \)[/tex] accurately represents the situation where Lionel plays trumpet for a minimum of 45 minutes on the days he practices.
In summary, the inequality [tex]\( y \geq \frac{45}{60}x \)[/tex] ensures that Lionel practices for at least 45 minutes on each of the x days he practices, where x represents the number of days and y represents the total number of hours he spends practicing.
The question probable may be:
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, Write down an inequality represents this situation?
