Final answer:
The future value of the rare Charizard Pokémon card, which appreciates at a rate of 3.5% annually, can be calculated using the formula v = 525(1 + 0.035)^t, representing exponential growth.
Step-by-step explanation:
The question asks for an equation to determine the value of a rare Charizard Pokémon card, which is initially purchased for $525 and appreciates in value by 3.5% annually. The value, v, of the card after t years can be calculated using the formula for exponential growth: v = p(1 + r)^t, where p is the initial purchase price, r is the annual rate of increase, and t is the number of years since the purchase.
To find the future value of the card, we will substitute p = $525 and r = 0.035 (since 3.5% as a decimal is 0.035) into the equation. The future value of the card after t years is given by the following equation: v = 525(1 + 0.035)^t.