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 ​$7.12. The value has increased by ​$2.27 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 2011

Answer 1

Answer:

No, x and y are not proportional

The value of card in 2006=$38.05

Step-by-step explanation:

When he retired in 1995 , the value of card=$8.24

Value increased each year =$2.71

y=Value of card

x=Number of years from the year of retirement

Then, according to question

y=2.71x+8.24y=2.71x+8.24

Substitute x=1

Then , y=2.71(1)+8.24=2.71+8.24=10.95y=2.71(1)+8.24=2.71+8.24=10.95

Substitute x=2

Then, we get

y=2.71(2)+8.24=13.66y=2.71(2)+8.24=13.66

When x and y are proportional then

\frac{x_1}{y_1}=\frac{x_2}{y_2}=k

y

1

x

1

=

y

2

x

2

=k =Constant

\frac{1}{10.95}\neq \frac{2}{13.66}

10.95

1



=

13.66

2

Hence, x and y are not proportional.

x=11

Then, y=2.71(11)+8.24=38.05y=2.71(11)+8.24=38.05

The value of the card in 2006=$38.05

plzz mark brainliest :)