Final answer:
The student's question is about their cell phone plan budget, where they are charged $45 per month for 2GB of data and $15 per GB for any additional data. They have a budget of at least $75 this month. The maximum amount of additional data the student can use within their budget is 2GB.
Step-by-step explanation:
The theme of this question is about cell phone plans and budgeting for data usage. The cost of the cell phone plan is $45 per month for 2GB of data and an additional $15 per GB for any data over the limit. The student has a budget of at least $75 this month. To determine the total cost, we need to calculate the amount of data used and any additional charges for exceeding the limit.
Let's assume the student used X GB of data over the 2GB limit. The total cost can be calculated as follows:
- Cost of 2GB data = $45
- Cost of additional data = $15 * X
- Total cost = $45 + ($15 * X)
Since the student's budget is at least $75, the inequality equation would be: $45 + ($15 * X) <= $75. We can solve this inequality to find the maximum amount of additional data the student can use within their budget.
By subtracting $45 from both sides of the inequality and then dividing by $15, we get:
- ($15 * X) <= $75 - $45
- ($15 * X) <= $30
- X <= $30 / $15
- X <= 2
Therefore, the student can use a maximum of 2GB of additional data within their budget to stay at or below $75.