Kayla's mom has a budget of $150. She will spend $5 per person on food for 12 friends, which totals to \( 12 \times 5 = 60 \).
She needs to find how much she can spend on each goody bag (denoted as \( m \)) after paying for the food. Therefore, the amount left for the goody bags after covering food costs is \( 150 - 60 = 90 \).
Considering each goody bag is for 12 friends, she needs to represent the total spent on goody bags (which is \( 12m \)) to equal the remaining budget:
So the equation representing this situation would be: \[ 12m = 90 \]
However, if we want to put it into the form of a single equation using one of the options, we can rearrange:
Starting with the known values, \[ 12(m + 5) = 150 \] This accounts for both the goody bags and the food costs in a single equation.
So the correct expression is: 12(m + 5) = 150.