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 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.
Brayton needs to tutor 12.5 kids to meet his goal.

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.

Answer 1

To find out how many kids Brayton needs to tutor to save more than $350, we can set up the following equation based on the information provided:

Let \( x \) be the number of kids Brayton tutors.

He earns $20 for each kid he tutors, so the total amount earned from tutoring would be \( 20x \). Additionally, Brayton received a $100 birthday gift.

The total money Brayton has after tutoring and receiving the gift is \( 20x + 100 \).

We want this amount to be more than $350, so we can set up the inequality:

\[ 20x + 100 > 350 \]

Now, we can solve for \( x \):

1. Subtract 100 from both sides: \[ 20x > 250 \]

2. Divide both sides by 20: \[ x > 12.5 \]

Since Brayton cannot tutor a fraction of a kid, he must tutor at least 13 kids.

The solution, interpreted in the context of the problem, is:

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

So, the correct answer choice is:

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