Question

The value of a baseball​ player's rookie card began to increase once the player retired. When he retired in 1996 his card was worth ​$5.71 The value has increased by ​$1.98 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 2002 ​?

Answer 1

Explanation:

The number of years between 1996 to 2002 will be:

= 2002 - 1996

= 6 years

The relationship relating the value of the card y in dollars and the number of years x the player has been in retirement can be expressed as an equation in the form of:

y = 5.71 + 1.98x

where x = 6 years

y = 5.71 + 1.98(6)

y = 5.71 + 11.88

y = $17.59

The value of the card in 2002 ​is $17.59.

The relationship between x and y isn't proportional in this case.