Question

The value of a baseball​ player's rookie card began to increase once the player retired. When he retired in 1997 his card was worth ​$4.51 The value has increased by ​$1.02 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 ​2008?

Answer 1

Explanation:

When he retired in 1997 his card was worth ​$4.51 The value has increased by ​$1.02 each year since then.

Express the relationship relating the value of the card y in dollars and the number of years x

y = $1.02 x + $4.51

Is the relationship between x and y​ proportional?

Yes. This is because as x increases, the value of y also increases.

What was the value of the card in ​2008?

Number of years from 1997 to 2008 = x = 11

y = $1.02 x + $4.51

y = $1.02 (11) + $4.51

y = $ 11.22 + $4.51

y = $ 15.73