Brayton has a goal of saving more than $350 this week. He earns $20 for each kid he tutors after school. This week it also happened to be his birthday, and he received $100 as a gift for his birthday. Write and solve an inequality for the number of kids Brayton needs to tutor this week. Which answer choice best interprets the solution in the context of the problem?(1 point)

Question

Responses

Brayton needs to tutor at least 13 hours to meet his goal.
Brayton needs to tutor at least 13 hours to meet his goal.

Brayton needs to tutor more than 12.5 hours to meet his goal.
Brayton needs to tutor more than 12.5 hours to meet his goal.

Brayton needs to tutor at least 13 kids this week to meet his goal.
Brayton needs to tutor at least 13 kids this week to meet his goal.

Brayton needs to tutor 12.5 kids to meet his goal.

Answer 1

To determine the number of kids Brayton needs to tutor to save more than $350 this week, we can set up the following inequality.

Let \( x \) represent the number of kids Brayton tutors. Each kid earns him $20, and he has a $100 birthday gift. Therefore, his total earnings from tutoring and the birthday gift can be represented as:

\[ 20x + 100 > 350 \]

Next, we can solve the inequality:

1. Subtract 100 from both sides:

\[ 20x > 350 - 100 \]

\[ 20x > 250 \]

2. Now, divide both sides by 20:

\[ x > \frac{250}{20} \]

\[ x > 12.5 \]

Since \( x \) must be a whole number (you can't tutor half a kid), Brayton will need to tutor at least 13 kids this week.

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.