Question

Tavon has a gift card for $85 that loses $3.50 for each 30-day period it is not used. He has another gift card for $75 that loses $3 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, the determine what the value of each card will be when they have equal value.​

Answer 1

Answer:

Each card will have a value of $15 when they equal after 600 days which also is 20 30-day periods.

Step-by-step explanation:

Card1: $85 - \frac{3.50}{30} x$

Card2: $75 - \frac{3}{30} x$

x is number of days

$85 - \frac{3.50}{30} x = 75 - \frac{3}{30} x$

2550 - 3.50x = 2250 - 3x

2550 - 0.50x = 2250

-0.50x = -300

x = 600 days

Card1: $85 - \frac{3.50}{30} (600)$

         85 - 70 = 15 dollars

Card2: $75 - \frac{3}{30} (600)$

         75 - 60 = 15 dollars