Bashir is working two summer jobs, making $15 per hour lifeguarding and $13 per hour tutoring. Bashir must earn a minimum of $230 this week. Write an inequality that would represent the possible values for the number of hours lifeguarding, ll, and the number of hours tutoring, tt, that Bashir can work in a given week.

1 answer

To represent Bashir's earnings from both jobs as an inequality, we can set up the following equation based on the information provided:

Bashir earns $15 per hour as a lifeguard and $13 per hour for tutoring. If \( l \) represents the number of hours lifeguarding and \( t \) represents the number of hours tutoring, we can express Bashir's total earnings as:

\[ 15l + 13t \]

Bashir must earn a minimum of $230, which means we can set up the inequality:

\[ 15l + 13t \geq 230 \]

This inequality represents the possible values for the number of hours lifeguarding (\( l \)) and tutoring (\( t \)) that Bashir can work in a given week in order to meet his earnings goal.