To solve for the number of kids Brayton needs to tutor, we can start by setting up the inequality based on the information given.
Brayton earns $20 for each kid he tutors, and he also received $100 as a birthday gift. Therefore, his total savings can be expressed as:
\[ \text{Total Savings} = 20k + 100 \]
where \(k\) is the number of kids he tutors.
Brayton wants to save more than $350, so we can set up the following inequality:
\[ 20k + 100 > 350 \]
Now, let's solve the inequality step-by-step:
- Subtract 100 from both sides:
\[ 20k > 350 - 100 \] \[ 20k > 250 \]
- Divide both sides by 20:
\[ k > \frac{250}{20} \] \[ k > 12.5 \]
Brayton needs to tutor more than 12.5 kids. Since he can't tutor a fraction of a kid, he needs to tutor at least 13 kids to meet his goal.
Thus, the best interpretation of the solution in the context of the problem is:
Brayton needs to tutor at least 13 kids this week to meet his goal.