Let's solve the problem step by step:
1. Identify the total cost: Samuel paid a total of [tex]$34.63$[/tex].
2. Identify the cost of the ice cream: Samuel paid [tex]$6.95$[/tex] for the ice cream.
3. Calculate the total cost of the onions: To find this, we subtract the cost of the ice cream from the total cost.
[tex]\[
\text{Total cost of onions} = \text{Total cost} - \text{Cost of ice cream} = 34.63 - 6.95 = 27.68
\][/tex]
4. Find the number of bags of onions: Samuel bought 8 bags of onions.
5. Calculate the cost per bag of onions: To find this, we divide the total cost of the onions by the number of bags.
[tex]\[
\text{Cost per bag of onions} = \frac{\text{Total cost of onions}}{\text{Number of bags}} = \frac{27.68}{8} = 3.46
\][/tex]
6. Create the tape diagram: We need to represent this scenario with a tape diagram where [tex]\(x\)[/tex] represents the cost of each bag of onions. Given that the total cost is the sum of the cost of the ice cream and the total cost of the onions, one possible tape diagram would be:
- A segment representing the [tex]$6.95$[/tex] from the ice cream.
- Eight equal segments, each labeled with [tex]\(x\)[/tex], representing the cost per bag of onions, with each [tex]\(x\)[/tex] being [tex]$3.46.
So, our tape diagram would illustrate:
- $[/tex]6.95[tex]$ for the ice cream.
- $[/tex]8 \times 3.46$ for the 8 bags of onions.
Based on this, diagram B would be the correct choice as it would show the total cost as a sum of the cost of ice cream and the cost of 8 bags of onions (each represented by [tex]\(x\)[/tex]).
