To represent the context of Amelia's snack purchase using a tape diagram, we can break down the costs in a visual way. We know the following:
- The cost of the bag of oranges is $2.49.
- The total cost before tax is $21.19.
- There is a 10-pack of juice bottles, and we will represent the cost of each bottle as \( xx \).
We can set up the equation that represents the total cost:
\[ \text{Cost of oranges} + \text{Cost of juice bottles} = \text{Total cost} \]
That translates into:
\[ 2.49 + 10 \cdot xx = 21.19 \]
To create the tape diagram, you would represent the total cost as a long rectangle, which represents $21.19. The left section of the rectangle could represent the cost of the oranges ($2.49), and the remaining section of the rectangle will represent the total cost for the juice bottles (which can be thought of as 10 equal segments representing the cost of each juice bottle).
So, in the tape diagram:
- You will have one segment labeled "Oranges: $2.49".
- The remaining segments would represent 10 bottles of juice, each labeled with \( xx \).
- The total length of the tape would equal $21.19.
In summary, the tape diagram could look like this:
|---$2.49---|---xx---|---xx---|---xx---|---xx---|---xx---|---xx---|---xx---|---xx---|---xx---|---xx---|
Total is $21.19
This clearly illustrates how much of the total cost comes from each component.