To find out how much money Jacqueline will earn from her two part-time jobs this week, we can plug the values of \( l \) (lab assistant hours) and \( s \) (cashier hours) into the model \( 15l + 12s \).
Given:
- \( l = 5 \) (hours worked as a lab assistant)
- \( s = 7 \) (hours worked as a cashier)
Now, substituting these values into the equation:
\[ 15l + 12s = 15(5) + 12(7) \]
Calculating each part:
\[ = 15 \times 5 + 12 \times 7 \]
\[ = 75 + 84 \]
Now add them together:
\[ = 159 \]
Therefore, Jacqueline will earn $159 this week from her two jobs.