Question

can you answer this ? Tavon has a gift card for $95 that loses $4 for each 30-day period it is not used. He has another gift card for $85 that loses $3.50 for each Ju-day period It Is not Write and solve an equation for the number or 30-dav periods unuthe value or the art cards will be equalD. What wil the value or each card be when thev have equa value?a. If x is the number of 30-day periods, then the equation can be used to find the number of 30-dav periods until the values of the aift(Type an equation. Use integers or decimals for any numbers in the equation.

Answer 1

If x is the number of 30 days period, the cost of gift cards after x days unused is,

`95-4x`

And for the second gift card:

`85-3.50x`

The equation for x is,

`95-4x=85-3.50x`

Solve the equation for x.

`\begin{gathered} 95-4x=85-3.50x \\ 95-85=4x-3.50x \\ 10=0.5x \\ x=(10)/(0.5) \\ =20 \end{gathered}`

So after 20 unused days, the value of cards are equal.

(b)

Substitute 20 for x in equation 95 - 4x to determine the value of the card.

`\begin{gathered} 95-4\cdot20=95-80 \\ =15 \end{gathered}`

So the value of cards, when they are equal, is $15.