Question

Ron rents a DVD from a video rental store that charges $10 to rent 5 DVDs for a week. If a DVD is returned late, a late fee is charged. Ron returns the 5 DVDs 4 days late. So, he is charged a total of $20. If x represents the number of days the DVDs are late and y represents the total amount that Ron pays for renting the DVDs, construct an equation that models the situation.

Answer 1

To construct an equation that models the situation, let x represent the number of days the DVDs are late and y represent the total amount Ron pays for renting the DVDs.

Step-by-step explanation:

To construct an equation that models the situation, let x represent the number of days the DVDs are late and y represent the total amount Ron pays for renting the DVDs.

1. First, we need to calculate the late fee per day. Since Ron is charged $20 for returning the DVDs 4 days late, he is charged $20 - $10 = $10 for the 4 days late. So, the late fee per day is $10 / 4 = $2.50.
2. Therefore, the equation that models the situation is y = 10 + 2.50x.

Answer 2

10 + 5x = 20

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