Question

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?​

Answer 1

Answer:

Step-by-step 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

Answer 2

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.