The value of the two gift cards would be the same at 40 30-days
The value of each card be when they have equal value is $15
What can be used to represent value of number of 30 days?
Let us assume that each 30-day period is x, based on the value of each gift is the initial value minus the number of 30-days multiplied by loss in value for every 30-day period
First gift card value=135-3x
Second gift card value=115-2.50x
At the same number of 30-days, their values are the same
135-3x=115-2.50x
135-115=-2.50x+3x
20=0.50x
x=20/0.50
x=40
Value of each gift card at 40 30-days=135-(3*40)
Value of each gift card at 40 30-days=135-120
Value of each gift card at 40 30-days=15
value of each gift card=115-2.50(40)
value of each gift card=115-100
value of each gift card=15
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