Question
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.Let n represent the number of notebooks that he buys.Which inequality describes this scenario?(1 point)Responses24n+2≥3724 n plus 2 is greater than or equal to 3737>2n+2437 is greater than 2 n plus 2437≥2n+2437 is greater than or equal to 2 n plus 2437<2n+24
Answers
GPT-4o mini
To determine the correct inequality for this scenario, let's break down the costs involved:
- The calculator costs $24.
- Each notebook costs $2.
- The student has a total of $37 to spend.
The amount spent on notebooks can be represented as \(2n\) where \(n\) is the number of notebooks.
The total amount spent would be the cost of the calculator plus the cost of the notebooks:
\[
24 + 2n
\]
The student can spend up to $37, so we need to set up the inequality:
\[
24 + 2n \leq 37
\]
This can be simplified to:
\[
2n \leq 37 - 24
\]
\[
2n \leq 13
\]
Thus, the correct inequality is:
\[
24 + 2n \leq 37
\]
From the options provided, since our simplified form of the inequality isn't listed directly, we can see it's quite similar to the option:
\[
37 \geq 24 + 2n
\]
As the two statements \(A \leq B\) and \(B \geq A\) are equivalent. However, the exact choice is not represented among the initially provided responses.
In conclusion, if choosing between the given options, the right one that holds true for our derived relationship is:
\[
37 \geq 2n + 24
\]
This reflects the appropriate relationship for the student's budget and the items he wishes to buy.
- The calculator costs $24.
- Each notebook costs $2.
- The student has a total of $37 to spend.
The amount spent on notebooks can be represented as \(2n\) where \(n\) is the number of notebooks.
The total amount spent would be the cost of the calculator plus the cost of the notebooks:
\[
24 + 2n
\]
The student can spend up to $37, so we need to set up the inequality:
\[
24 + 2n \leq 37
\]
This can be simplified to:
\[
2n \leq 37 - 24
\]
\[
2n \leq 13
\]
Thus, the correct inequality is:
\[
24 + 2n \leq 37
\]
From the options provided, since our simplified form of the inequality isn't listed directly, we can see it's quite similar to the option:
\[
37 \geq 24 + 2n
\]
As the two statements \(A \leq B\) and \(B \geq A\) are equivalent. However, the exact choice is not represented among the initially provided responses.
In conclusion, if choosing between the given options, the right one that holds true for our derived relationship is:
\[
37 \geq 2n + 24
\]
This reflects the appropriate relationship for the student's budget and the items he wishes to buy.