Brandy found a rare, one-of-a-kind character card in her new deck. The card is valued at $8.95. Every year, the card's value increases by $1.33. She plans to sell the card after 15 years with the hopes of making at least $26. Is this a viable option?

For this case, the first thing we must do is define variables:

x: number of years

y: value of the card.

The equation that models this problem is:

y = 1.33x + 8.95

For x = 15 years we have:

y = 1.33 * (15) + 8.95

y = $ 28.9 (> $ 26)

Answer:

Yes, this a viable option