Question

Tavon has a gift card for $65 that loses $2.50 for each 30-day period it is not used. He has another gift card for $55 that loses $2 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?

Answer 1

Let x be the number of 30 days.

(a) 65 - 2.5x = 55 - 2x

(b) 65 - 2.5x = 55 - 2x
65 - 55 = 2.5x - 2x
0.5x = 10
x = 20
Therefore, each card will result in the value of $15 when they have equal value.