Answer:
the number of 30-day periods until the value of the gift cards will be equal is 40
Step-by-step explanation:
Let
x = each 30-day period
Tavon has a gift card for $95 that loses $2 for each 30-day period it is not used.
95 - 2x
He has another gift card for $75 that loses $1.50 for each 30-day period it is not used
75 - 1.50x
Equate both expression for the number of 30-day periods until the value of the gift cards will be equal.
95 - 2x = 75 - 1.50x
95 - 75 = -1.50x + 2x
20 = 0.50x
x = 20/0.50
= 40
x = 40
