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.
