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The question in the image asks which equation can be used to determine the number of gigabytes of data, $ x $, Shaniece can use while staying within her budget. Here's the breakdown:

- Shaniece pays a flat rate of $48 per month, regardless of her data usage.
- She pays an additional $3 per gigabyte (GB) of data used.
- She wants to keep her total monthly bill at $61.20.

We can model her total cost as:
\[
\text{Total cost} = 48 + 3x
\]
where $ x $ represents the number of gigabytes of data used. Shaniece wants to keep her total cost at $61.20, so the equation becomes:
\[
48 + 3x = 61.20
\]

Now let's look at the answer choices:

- $ 61.2 = 48x + 3 $
- $ 3x + 48 = 61.2 $
- $ 3(x + 48) = 61.2 $
- $ 48x - 61.2 = 3 $

The correct equation is **$ 3x + 48 = 61.2 $**, which directly matches the simplified version of the equation derived above.

Would you like further details on this explanation or have any questions?

Here are 5 related questions you could consider:
1. How can we solve for $ x $ in the equation $ 3x + 48 = 61.2 $?
2. What does $ x $ represent in the context of the problem?
3. How would the equation change if Shaniece's flat cost was different, say $50?
4. If Shaniece used 5 gigabytes of data, what would her total cost be?
5. What other factors might influence a person's phone bill beyond the flat rate and data usage?

**Tip:** When modeling real-world situations with equations, always start by identifying the fixed costs and variable costs!

Under her cell phone plan, Shaniece pays a flat cost of $48 per month and $3 per gigabyte. She wants to keep her bill at $61.20 per month. Which equation could be used to determine x, the number of gigabytes of data Shaniece can use while staying within her budget?

Learn how to determine the number of gigabytes of data Shaniece can use while staying within her budget. This problem involves using a linear equation, where Shaniece pays a flat rate of $48 per month plus $3 per gigabyte, aiming to keep her total bill at $61.20. Suitable for Grades 6-8 students learning basic algebra.

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