Question

jamaal spent ( x ) minutes today practicing his guitar and ( y ) minutes today on homework. if the total time he spent on both is 45 minutes or more, which inequality best represents his practice time?
options: ( x + y leq 45 ), ( x + y geq 45 ), ( x + y > 45 ), ( x + y < 45 )

Explanation:

Step1: Understand the problem

We know that Jamaal spent \( x \) minutes on guitar and \( y \) minutes on homework. The total time for both is the sum of these two times, which is \( x + y \). The problem states that the total time is 45 minutes or more.

Step2: Translate to inequality

"45 minutes or more" means the total time \( x + y \) is greater than or equal to 45. In mathematical notation, this is \( x + y \geq 45 \).

Answer:

\( x + y \geq 45 \) (the second option: \( x + y \geq 45 \))