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. Which inequality describes this scenario?
37 greater than or equal to 2n+24
24n+2 greater than or equal to 37
37 less than 2n+24
37 greater than 2n+24

Answer 1

To describe the student's budget scenario with an inequality, we can break it down as follows:

1. Let \( n \) represent the number of notebooks the student wants to buy.
2. The cost of the calculator is $24.
3. Each notebook costs $2, so the total cost for \( n \) notebooks is \( 2n \).
4. The total cost for both the calculator and the notebooks is \( 24 + 2n \).
5. The student has $37 to spend.

To represent this situation mathematically, we need to ensure that the total cost does not exceed the amount of money the student has. Therefore, the correct inequality is:

\[
24 + 2n \leq 37
\]

To rewrite it to match the options given, we can rearrange it:

\[
37 \geq 24 + 2n
\]

Thus, the correct choice from the options provided is:

**37 greater than or equal to 2n + 24**.