Which number line would help you compute how much money you had in the following situation?

You have [tex]$5. You pay someone $[/tex]3. You receive a gift of $4.

A.
[tex]\[
\begin{array}{c}
-15 \quad -10 \quad -5 \quad 0 \quad 5 \quad 10 \quad 15 \\
\end{array}
\][/tex]

B.
[tex]\[
\begin{array}{c}
-15 \quad -10 \quad -5 \quad 0 \quad 5 \quad 10 \quad 15 \\
\end{array}
\][/tex]

C.
[tex]\[
\begin{array}{c}
-15 \quad -10 \quad -5 \quad 0 \quad 5 \quad 10 \quad 15 \\
\end{array}
\][/tex]

D.
[tex]\[
\begin{array}{c}
-15 \quad -10 \quad -5 \quad 0 \quad 5 \quad 10 \quad 15 \\
\end{array}
\][/tex]



Answer :

To determine which number line would help us compute the amount of money in this situation, let's break down the problem step by step:

1. Initial Amount of Money: You start with [tex]$5. 2. Amount Paid: You pay someone $[/tex]3.
3. Gift Received: You receive a gift of [tex]$4. Let's calculate the final amount of money you have: ### Step-by-Step Calculation: - Start with the initial amount of money: $[/tex]5.
- Subtract the amount you paid: [tex]$5 - $[/tex]3 = [tex]$2. - Add the amount received as a gift: $[/tex]2 + [tex]$4 = $[/tex]6.

So, the final amount of money you have is [tex]$6. The number line we need should be able to represent the value $[/tex]6. Now looking at the options provided:

1. Option A: The number line ranges from -15 to 15.
2. Option B: The number line ranges from -15 to 15.
3. Option C: The number line ranges from -15 to 10.
4. Option D: The number line ranges from -15 to 15.

Since all provided number lines include the value 6 within their range, any of these options would be appropriate for computing and visualizing the final amount of $6.

Therefore, the correct answer can be any of the options A, B, C, or D, as all these ranges cover the value 6. However, if we must choose just one option, Option A (range from -15 to 15) is an excellent choice as it clearly encompasses the value 6.