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 $6.34. The value has increased by $1.73 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 2010? ... Express the relationship with an equation. y = ?​

Answer 1

The relationship between the value of the baseball player's rookie card and the number of years since retirement can be expressed with the equation y = 6.34 + 1.73x. The relationship is not proportional. The value of the card in 2010 was $23.64.

Step-by-step explanation:

To express the relationship between the value of the baseball player's rookie card and the number of years since retirement, we can use an equation. Let's use x to represent the number of years since retirement and y to represent the value of the card.

The equation for the relationship would be: y = 6.34 + 1.73x. This equation represents that the value of the card starts at $6.34 when the player retired and increases by $1.73 each year.

The relationship between x and y in this case is not proportional because the value of the card increases by a fixed amount each year, rather than a constant ratio.

To find the value of the card in 2010, we need to substitute x = 10 into the equation. Plugging in x = 10, we have: y = 6.34 + 1.73(10) = 6.34 + 17.3 = $23.64.