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+2437 is greater than 2 n plus 2437<2n+2437<2n+2424n+2≥3724 n plus 2 is greater than or equal to 3737≥2n+2437 is greater than or equal to 2 n plus 24 Question 8

Answer 1

To describe the scenario using an inequality, we need to account for the total cost of the calculator and the notebooks the student wants to buy. The cost of the calculator is $24, and the cost of each notebook is $2, so the total cost for \( n \) notebooks is \( 2n \).

The inequality should represent the fact that the total spending (calculator + notebooks) must be less than or equal to the amount of money the student has ($37).

The total cost is \( 24 + 2n \). Therefore, the inequality can be written as:

\[ 24 + 2n \leq 37 \]

To express this in the form of the given options, we can rearrange it. Subtracting 24 from both sides, we get:

\[ 2n \leq 37 - 24 \]

This simplifies to:

\[ 2n \leq 13 \]

Therefore, the correct inequality from the options given would be:

• \( 37 \geq 2n + 24 \)

This means 37 is greater than or equal to 2n + 24.

So the correct response is:

37 ≥ 2n + 24 (response option that states "37 is greater than or equal to 2n plus 24")