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Dante will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $38 and costs an additional $0.13 per mile driven. The second plan has an initial fee of $51 and costs an additional $0.09 per mile driven.

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Final answer:

To compare the two car rental plans, calculate the total cost by adding the initial fee and the cost per mile driven. Compare the total cost for driving a certain number of miles to determine which plan is cheaper.

Step-by-step explanation:

To compare the two plans, we need to consider the initial fee and the cost per mile driven.

For the first plan, Dante has an initial fee of $38 and an additional cost of $0.13 per mile driven.

For the second plan, the initial fee is $51 and the additional cost is $0.09 per mile driven.

To determine which plan is cheaper, we can compare the total cost for driving a certain number of miles. We can use a simple formula: Total cost = Initial fee + (Cost per mile * Number of miles driven).

Let's say Dante plans to drive 200 miles.

Using the first plan: Total cost = $38 + ($0.13 * 200)

= $38 + $26

= $64.

Using the second plan: Total cost = $51 + ($0.09 * 200)

= $51 + $18

= $69.

Therefore, if Dante plans to drive 200 miles, the first plan would be cheaper, costing $64 compared to the $69 for the second plan.

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