Tavon has a gift card for $95 that loses $2 for each 30-day period it is not used. He has another gi

Sallie Banks

Sallie Banks

Answered question

2022-01-16

Tavon has a gift card for $95 that loses $2 for each 30-day period it is not used. He has another gift card for $75 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 & Explanation

sonorous9n

sonorous9n

Beginner2022-01-17Added 34 answers

For first gift card
$95 and loses $2 each day
ler x= number of days
y= value after x 30 day period
y=952x (1)
y=751.5x (2)
When gift card will have equal value 1=2
952x=751.5x equation to find 30-day period until gift card has equal value
9575=(21.5)x
0.5x=20
x=40
a) 30 day period value of gift card will be equal.
after 40×30=1200 days
Answer: 40
b) Value of card when equal
1) y=952x
y=952×40
y=15
for (2)
y=751.5x
y=751.5×40
y=15
Answer: $15 each card will have $15 as equal value.
Philip Williams

Philip Williams

Beginner2022-01-18Added 39 answers

Gift Card 1 (C=GC1) has a value of $95Time ($230 days)
Mathematically, lets set T for a time increment of 30 days. 1T=30 days.
So we can state the value of GC1, in increments of 30 days, as GC1=95T($230 days).
And so, GC2=75T($1.530 days)
We want to know the value of T when the cards are equal in value.
So for what value of T does GC1=GC2?
95T2=75T1.5, where T is in increments of 30 days.
Rearranging, 20=0.5T
T=40
After 40 30-day periods (1200 days), both cards should have equal value (assuming you don't use them in the meantime). Let's check it:
Card 1 after 40 periods: $95(40$2)=$15
Card 2: $75(401.5)=$15.

alenahelenash

alenahelenash

Expert2022-01-24Added 556 answers

The first part to solving this equation is to put one fact against another and set them to be equal each other. Gift card one starts at $95 and loses $2 per month, while gift card two starts at $75 and loses $1.50 per month. $95$2(months)=$75$1.5(months)If we move dollars to the left and months to the right, we'll get: $20=$.5(x) Dividing both sides by the coefficient of x ($.5) will yield the number of months until both gift cards are of equal value. Substituting that number of months for x in our original equation will yield the dollar amount.(After 40 months, each of the cards will be $15.)

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?