Question

A student wants to purchase some new school supplies. He wants to buy a calculator that costs $24 and some notebooks for school. Each notebook costs $2. The student only has $37 to spend.

Let n represent the number of notebooks that he buys.

Which inequality describes this scenario?

(1 point)
Responses

37>2n+24
37 is greater than 2 n plus 24

24n+2≥37
24 n plus 2 is greater than or equal to 37

37≥2n+24
37 is greater than or equal to 2 n plus 24

37<2n+24

Answer 1

To represent the student's situation with an inequality, we need to consider the total amount he can spend on the calculator and notebooks.

The cost of the calculator is $24. Each notebook costs $2, so if \( n \) is the number of notebooks, then the total cost of the notebooks is \( 2n \).

The student has a total of $37 to spend, so we can set up the inequality:

\[
24 + 2n \leq 37
\]

This can be rearranged to:

\[
2n \leq 37 - 24
\]
\[
2n \leq 13
\]

This tells us that he can spend $24 on the calculator, and still have enough money left over to buy \( n \) notebooks.

However, looking at the provided options, we should focus on the total money he has available compared to the total he will spend. The correct format to describe this is:

\[
37 \geq 2n + 24
\]

This means the total amount he has ($37) is greater than or equal to the total cost of the notebooks and the calculator.

So the inequality that describes this scenario is:

**37 ≥ 2n + 24**

This matches the third option provided.