Answer: [tex]\frac{m}{2}+100[/tex]
Step-by-step explanation:
For this exercise it is important to remember that:
1) The word "more" indicates an Addition.
2) The word "half" indicates a division by 2.
3) A sum is the result of an Addition.
Based on the information provided in the exercise, let be "m" the amount of money (in dollars) that Matt made last week.
Keeping on mind the explanation given before, you can determine that the phrase "half of what Matt made" can be represented with the following expression:
[tex]\frac{m}{2}[/tex]
Now, according to the data given in the exercise, you know that the amount of money (in dollars) that Noah made last week is "100 dollars more than half of what Matt made".
So, as you can notice, that indicates that the amount of money made by Noah (in dollars) is the sum of 100 dollars and [tex]\frac{m}{2}[/tex]. Therefore, you can write the following expression to represent this:
[tex]\frac{m}{2}+100[/tex]
