Which function represents the scenario below? *

Question

B. Baseball Card

You purchased a valuable baseball card. Every year it doubles in value.

x = years that have passed since purchase y = value of the card

y = 10 - 0.2x
Option 1

y = 12 * (2) ^ x
Option 2

How much will the baseball card be worth 5 years after the purchase? *

O $44

O $120

O $22

O $384

Answer 1

To determine how much the baseball card will be worth 5 years after the purchase, we can plug x = 5 into the equation.

Using option 1: y = 12 * (2) ^ x

y = 12 * (2) ^ 5
y = 12 * 32
y = 384

Therefore, the baseball card will be worth $384 5 years after the purchase.

The correct option is:
O $384