## Tavon has a gift card for \$ 90 that loses \$ 4 for each​ 30-day period it is not used. He has another gift card for \$ 80 that loses \$ 3.50 fo

Question

Tavon has a gift card for \$ 90 that loses \$ 4 for each​ 30-day period it is not used. He has another gift card for \$ 80 that loses \$ 3.50 for each​ 30-day period it is not used. A. Write and solve an equation for the number of​ 30-day periods until the value of the gift cards will be equal. B. What will the value of each card be when they have equal​ value?

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2 weeks 2021-10-11T16:07:58+00:00 1 Answer 0

1. Answer: it will take twenty 30-day periods until the value of the gift cards will be equal.

The value of each card be when they have equal​ value is \$10

Step-by-step explanation:

Let x represent the number of​ 30-day periods until the value of the gift cards will be equal.

Tavon has a gift card for \$90 that loses \$4 for each​ 30-day period it is not used. This means that x 30-day periods, the amount left would be

90 – 4x

He has another gift card for \$ 80 that loses \$ 3.50 for each​ 30-day period it is not used. This means that x 30-day periods, the amount left would be

80 – 3.5x

For the amounts left in each card to be the same, the number of periods would be

90 – 4x = 80 – 3.5x

90 – 80 = – 3.5x + 4x

10 = 0.5x

x = 10/0.5

x = 20

The value of each card be when they have equal​ value is

90 – 4 × 20 = 90 – 80

= \$10