The value of a booster pack of 1999 Pokémon cards, in dollars, is given by P (t ) = 26t + 1 , where t is the number of years since 1999 .

Question

a. Find the value of the booster pack in 2025

b. Determine the significance of the y − intercept.

c. In what year will the booster pack be worth $1000?

d. Determine the significance of the slope. slope =

Answer 1

t = 26 for the year 2025

P(26) = 26(26) + 1 = $677

the y intercept 1 means P(0) in the year 1999 the card ws worth $1

$1000= 26t +1

26t = 999

t =999/26 = about 38.4 1999 +38.4 = 2037 or a couple months into 20038

the slope is the rate of increase per year $26 per year increase