Tavon has a gift card for $135 that loses $3 for every 30-day period it is not used. He has another gift card for $115 that lose

Question

2 years ago

12

Tavon has a gift card for $135 that loses $3 for every 30-day period it is not used. He has another gift card for $115 that lose

s $2.50 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.

Mathematics

1 answer:

nlexa [21] · Answer 1 · 2023-09-18T05:41:38+03:00

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)