We know the following information from the problem:

• Olivia bought a bag of apples for $3.19.
• She also bought a 24-pack of juice bottles.
• The total cost before tax was $55.51.
• $x$ represents the cost of each juice bottle.

To represent this situation with a tape diagram, the total cost can be broken down into two parts:

1. The cost of the apples: $3.19.
2. The cost of the juice bottles: $24x$ (because there are 24 juice bottles, each costing $x$).

Thus, the total cost is the sum of the two: $3.19 + 24x = 55.51.$

Now, looking at the options:

• Option A shows the total amount as $53.33 + 3.19x$, which doesn’t match the given scenario.
• Option B correctly shows $24x$ for the juice bottles and $3.19 for the apples, with a total of $55.51.
• Option C uses $3.19x$, which doesn't match the correct breakdown of the problem.
• Option D shows the correct total but uses $24x$, like option B.

The correct representation of the scenario would be option B, where the cost of the juice bottles is $24x$, the apples cost $3.19, and the total cost is $55.51.

So, the correct answer is B.

---

Would you like more details on this solution or further clarification?

Here are 5 related questions to expand your understanding:

1. How would the equation change if Olivia bought 12 juice bottles instead of 24?
2. How would the total cost change if the price of apples increased to $4.00?
3. What would happen if the price of each juice bottle were $2.00? How would you solve for the total cost?
4. How can you solve for $x$ if you know the total cost is $55.51?
5. How could you represent this situation with a different diagram?

Tip: When solving for the cost of multiple items, always break the total into clear parts representing the cost of individual items.