To determine the correct expression representing the amount of money, \( m \), that Kayla's mom has to spend on each guest’s goody bag, we can break down the problem:
- There are 12 friends attending the party.
- The cost of food is $5 per person.
- Therefore, the total cost of food for 12 friends is \( 5 \times 12 = 60 \) dollars.
- The total budget for the party is $150.
- The remaining amount for goody bags after covering the food costs is \( 150 - 60 = 90 \) dollars.
- Since there are 12 friends, the expression for the amount per guest's goody bag can be represented as \( m \), where \( 12m \) is the total amount spent on the goody bags.
This gives us the equation:
\[ 12m = 90 \]
Thus, simplifying for m:
\[ m = \frac{90}{12} \]
So the total amount for each goody bag corresponds to the remaining budget after food costs.
To match this with the options given, we note that we haven't found an exact match there, but relating to the initial setup of the party and the budget spent, we can deduce:
If we were to represent the total party expenses including goody bags, it ends up looking like:
The correct handling of this situation as per the options could be presented like: \[ 150 - 5(12) = 12m \]
Since thinking through that mathematical route isn't among the presented options, it leads me to confirm the equation \( 12m + 60 = 150 \).
From your response options, none exactly fits our setup fully to extract \( m \) as valid but in real simplification can refer back to:
12(m+5)=150 is the only form showing link on \( m \) consideration to engage the whole theme and essentially divisive on the initial budget in contrast to involved guest list, thus it aligns closely while the format could have been expressed differently.
In conclusion, the closest expression representing this budget split for goody bags, relating properly to the context out of the options should be derived on frames involving \( 12(m + 5) = 150. \)