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.

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.