To determine how many gigabytes of data Ava can use while staying within her budget of $62.40 per month, we start by setting up the equation based on her cell phone plan.
Ava's total cost for the month is calculated using the formula:
\[ \text{Total Cost} = \text{Flat Cost} + (\text{Cost per GB} \times \text{Number of GBs}) \]
For Ava's plan:
- Flat Cost = $58
- Cost per GB = $4
- Total Cost = $62.40
We can substitute these values into the equation:
\[ 62.40 = 58 + (4 \times \text{Number of GBs}) \]
To isolate the term involving the number of gigabytes, we subtract the flat cost from both sides:
\[ 62.40 - 58 = 4 \times \text{Number of GBs} \]
This simplifies to:
\[ 4.40 = 4 \times \text{Number of GBs} \]
Next, we solve for the number of gigabytes by dividing both sides by 4:
\[ \text{Number of GBs} = \frac{4.40}{4} = 1.1 \]
Since gigabytes must typically be a whole number in cell phone plans, Ava can use at most 1 gigabyte of data while staying within her budget.
To verify:
If Ava uses 1 GB of data, the total cost would be:
\[ \text{Total Cost} = 58 + (4 \times 1) = 58 + 4 = 62 \]
If she were to use 2 GB of data, the cost would be:
\[ \text{Total Cost} = 58 + (4 \times 2) = 58 + 8 = 66 \]
So, the usage of 2 GB exceeds her budget.
Therefore, the maximum number of gigabytes Ava can use while staying within her budget of $62.40 is 1 GB.
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