20.4k views
5 votes
41. Tavon has a $50 gift card that loses $2 for each

30-day period it is not used. He has a $40 card
that loses $1.50 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?​

2 Answers

6 votes

Answer:

Let the number of 30 day period be = p

Part A:


50-2p=40-1.5p


=> 50-40=2p-1.5p


=> 10=0.5p

p = 20

So, there will be 20 30-day periods until the cards will be equal in value.

Part B:

Value of each card will be :


50-2p=40-1.5p


=> 50-2(20)=40-1.5(20)


=> 50-40=40-30

=> 10 = 10

The answer is $10.

User Blink
by
7.7k points
5 votes

Answer:

Explanation:

d=days not used

50-2d = 40-1.5d

subract 40 each side

10-2d =1.5d

10= 0.5d

20=d

After 20 days the value of the gift cards will be equal.

20*2=40 50-40=10 ($10)

20*1.5=30 40-30=10 ($10)

each card will have a value of $10 after 20 days,when both cards have equal value

User Saobi
by
6.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.