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Ajay has a smart phone data plan that costs $\$ 25$ per month that includes $9 \mathrm{~GB}$ of data, but will charge an extra $\$ 20$ per GB over the included amount. How much would Ajay have to pay in a month where he used $5 \mathrm{~GB}$ over the limit? How much would Ajay have to pay in a month where he used went over by $x$ GB?
Answer Attempt 1 out of 2
Total cost when over by 5 GB:
Total cost when over by $x$ GB: $25 x+$

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Answer

The total cost when Ajay goes over his limit by x GB is \(\boxed{25 + 20x}\) dollars.

Steps

Step 1 :The problem is asking for two things. First, it wants to know how much Ajay would have to pay in a month where he used 5 GB over the limit. Second, it wants a general formula for how much Ajay would have to pay if he went over by x GB.

Step 2 :To solve the first part, we need to calculate the total cost when Ajay goes over his limit by 5 GB. The cost of his plan is $25, and he is charged an extra $20 for each GB he goes over. So, the total cost would be the cost of the plan plus the cost of the extra data.

Step 3 :To solve the second part, we need to come up with a formula that calculates the total cost based on the number of GB Ajay goes over his limit. The cost of the plan is a constant $25, and the cost of the extra data is $20 times the number of GB over the limit.

Step 4 :The total cost when Ajay goes over his limit by 5 GB is \(\boxed{125}\) dollars.

Step 5 :The total cost when Ajay goes over his limit by x GB is \(\boxed{25 + 20x}\) dollars.

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