Question

 The value of a baseball​ player's rookie card began to increase once the player retired. When he retired in 1995 his card was worth ​$8.24. The value has increased by ​$2.71 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 2006​?

Answer 1

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

$y=2.71x+8.24$

Substitute x=1

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

Substitute x=2

Then, we get

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

When x and y are proportional then

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

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

Hence, x and y are not proportional.

x=11

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

The value of the card in 2006=$38.05

#Learns more:

https://brainly.com/question/13908488

Answer 2

Answer:

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

Substitute x=1

Then ,  

Substitute x=2

Then, we get

When x and y are proportional then

=Constant

Hence, x and y are not proportional.

x=11

Then,  

The value of the card in 2006=$38.05

#Learns more:

https://brainly.com/question/13908488

Step-by-step explanation: