Question

The value of a baseball card can be represented by the equation (y = 3x + 39), where (x) represents the number of years that Robert has owned the card and (y) represents the total value, in dollars, of the card. What was the value of the card when Robert originally purchased it?

a) $3
b) $13
c) $36
d) $39

Answer 1

The value of the baseball card when Robert originally purchased it was $39, as determined by substituting x = 0 into the given linear equation y = 3x + 39.

Step-by-step explanation:

To find the original value of the baseball card when Robert purchased it, we need to determine the value of y when x is zero, since x represents the number of years Robert has owned the card. According to the given equation y = 3x + 39, which describes the value of the card over time, we can plug in x = 0 to find the initial value of the card.

By substituting x = 0 into the equation, we get:

y = 3(0) + 39

y = 0 + 39

y = 39

Therefore, the value of the card when Robert originally purchased it was $39.