6. 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.

Question

Let n represent the number of notebooks that he buys.

Which inequality describes this scenario?

(1 point)
Responses

37<2n+24
37<2n+24

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

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

37>2n+24

Answer 1

To represent the scenario, we need to formulate an inequality based on the total cost of the items the student wants to purchase.

The student wants to buy one calculator costing $24 and "n" notebooks, each costing $2. The total cost for "n" notebooks would be \(2n\). Therefore, the total cost for the calculator and the notebooks combined is:

\[ 24 + 2n \]

The student has a budget of $37. This means that the total cost of the calculator and the notebooks should not exceed $37. This can be expressed using the following inequality:

\[ 24 + 2n \leq 37 \]

This is equivalent to saying:

\[ 37 \geq 2n + 24 \]

So the correct response is:

37 ≥ 2n + 24