Question

Tavon has a gift card for $115 that loses $2.50 for each​ 30-day period it is not used. He has another gift card for $95 that loses $2 for each​ 30-day period it is not used.

Answer 1

The question is incomplete:

Tavon has a gift card for $115 that loses $2.50 for each​ 30-day period it is not used. He has another gift card for $95 that loses $2 for each​ 30-day period it is not used.

Write and solve an equation for the number of 30-day periods until the value of the gift cards will be equal.

Answer:

115-2.5x=95-2x

The value of the gift cards will be equal after 40 30-day periods.

Step-by-step explanation:

From the information given, you can write the following equation:

115-2.5x=95-2x, where x is the number of 30-day periods the gift card is not used.

Now, you can solve for x:

115-95=-2x+2.5x

20=0.5x

x=20/0.5

x=40

According to this, the answer is that the value of the gift cards will be equal after 40 30-day periods.