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 ?

Step-by-step 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.

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

table 3 represents a direct variation function. : )