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<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+2

Answer 1

To model the situation with an inequality, we need to consider the total cost of the calculator and the notebooks the student wants to buy. The student has $37 to spend, so we want to set up an inequality that expresses that the total cost cannot exceed this amount.

The cost of the calculator is $24, and the cost of each notebook is $2. If \( n \) represents the number of notebooks, then the total cost of the notebooks is \( 2n \).

The total cost of both the calculator and the notebooks is therefore \( 24 + 2n \). Since the student has at most $37 to spend, we can set up the following inequality:

\[ 24 + 2n \leq 37 \]

This inequality shows that the total spent on the calculator and the notebooks should be less than or equal to $37.

However, looking at the response options you provided, the correct form that matches this is:

\[ 37 \geq 2n + 24 \]

This means the same thing as \( 24 + 2n \leq 37 \).

Therefore, the correct response is:
**37 ≥ 2n + 24**.