To solve for the expression that represents the amount of money, \( m \), Kayla's mom has to spend on each guest's goody bag, let's analyze the situation.
- Kayla's mom has a budget of $150.
- The cost for food is $5 per person, and since 12 friends are coming, the total cost for food will be \( 12 \times 5 = 60 \).
- Therefore, the remaining budget after spending on food will be \( 150 - 60 = 90 \).
This remaining budget is to be spent on goody bags, where \( m \) represents the amount spent on each goody bag for all 12 guests. So, the total amount spent on goody bags can be expressed as \( 12m \).
Setting up the equation: \[ 12m + 60 = 150 \]
This can be rearranged to represent the amount of money left for the goody bags: \[ 12m = 150 - 60 \] \[ 12m = 90 \]
The correct expression that matches the above setup is: \[ 12m + 5 = 150 \] This option represents the total amount spent (goody bags plus food cost), but since none of the options presented fit correctly, it seems the closest one can be \( 12(m + 5) = 150 \) if it were to correctly set up in a different manner.
So, I would choose: 12(m + 5) = 150
However, to re-emphasize, the precise structure should be \( 12m + 60 = 150 \) which is not among the given options. Instead, if we treat food cost plus goody bag costs, \( 12(m + 5) = 150 \) is closest representing food cost as part of goody bags. But it’s based fundamentally on the logic to reach the right spending split.