Question

Eli 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.  Eli only has $37 to spend. 

Let n represent the number of notebooks that Eli buys.

Which inequality describes this scenario?

(1 point)
Responses

24n+2≤37
24 n plus 2 is less than or equal to 37

2n+24≤37
2 n plus 24 is less than or equal to 37

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

37≤2n+24
37 is less than or equal to 2 n plus 24

37n<2n+24
37n<2n+24
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Answer 1

To model the scenario where Eli wants to buy a calculator for $24 and notebooks for $2 each, we need to set up an inequality based on his total budget of $37.

Eli will spend $24 on the calculator, and he will spend $2 for each notebook, where \( n \) represents the number of notebooks he buys. Therefore, his total spending can be expressed as:

\[
24 + 2n
\]

Since Eli cannot spend more than $37, we set up the inequality:

\[
24 + 2n \leq 37
\]

Now, this can be simplified to isolate \( n \):

Subtract 24 from both sides:
\[
2n \leq 37 - 24
\]

This results in:
\[
2n \leq 13
\]

So, the correct inequality that describes Eli's situation is:

**2n + 24 ≤ 37**

So the answer is:
**2n + 24 ≤ 37** (2 n plus 24 is less than or equal to 37).