Question
Inequalities Online Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
14 of 1514 of 15 Items
Question
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)
Responses
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.
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.
Complete this assessment to review what you've learned. It will not count toward your grade.
14 of 1514 of 15 Items
Question
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)
Responses
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.
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.
Answers
GPT-4o mini
To determine how many kids Brayton needs to tutor to save more than $350, we can set up an inequality.
Let \( x \) represent the number of kids Brayton tutors. He earns $20 for each kid, and he received an additional $100 as a gift. His total savings from tutoring \( x \) kids can be expressed as:
\[
20x + 100
\]
To meet his goal of saving more than $350, we can write the inequality:
\[
20x + 100 > 350
\]
Now, let's solve the inequality:
1. Subtract 100 from both sides:
\[
20x > 250
\]
2. Divide both sides by 20:
\[
x > 12.5
\]
Since \( x \) must be a whole number (as he cannot tutor a fraction of a kid), we round up to the next whole number. Therefore, Brayton needs to tutor at least 13 kids.
The appropriate 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.**
Let \( x \) represent the number of kids Brayton tutors. He earns $20 for each kid, and he received an additional $100 as a gift. His total savings from tutoring \( x \) kids can be expressed as:
\[
20x + 100
\]
To meet his goal of saving more than $350, we can write the inequality:
\[
20x + 100 > 350
\]
Now, let's solve the inequality:
1. Subtract 100 from both sides:
\[
20x > 250
\]
2. Divide both sides by 20:
\[
x > 12.5
\]
Since \( x \) must be a whole number (as he cannot tutor a fraction of a kid), we round up to the next whole number. Therefore, Brayton needs to tutor at least 13 kids.
The appropriate 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.**