Question

The value of a baseball​ player's rookie card began to increase once the player retired. when he retired in 2000 his card was worth ​$.5.98 the value has increased by ​$1.32 each year since then. express the relationship relating the value of the card y in dollars and the number of years x the player has been in retirement with an equation. is the relationship between x and y​ proportional? what was the value of the card in 2007 ​?

Answer 1

The relationship between the value of the baseball player's rookie card and the number of years in retirement is represented by the equation y = 0.5 + 1.32x. The relationship is not proportional, and the value of the card in 2007 would be $9.74.

Step-by-step explanation:

The relationship between the value of the baseball player's rookie card in dollars (y) and the number of years the player has been in retirement (x) can be expressed by the equation y = 0.5 + 1.32x. This equation represents a linear relationship, where the value of the card increases by $1.32 every year since the player retired in 2000.

To determine if the relationship between x and y is proportional, we need to check if the ratio of y to x remains constant. In this case, the ratio is not constant, so the relationship is not proportional.

To find the value of the card in 2007, we can substitute x = 7 (since 2007 is 7 years after 2000) into the equation. y = 0.5 + 1.32(7) = 0.5 + 9.24 = 9.74.