The value of a baseball player's rookie card began to increase once the player retired. When he retired in 1998 his card was worth $5.72. The value has increased by $2.42 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 2003?
Express the relationship with an equation.

y=2.42x+5.72

x and y are proportional

value of the card in 2003 was $17.82

Step-by-step explanation:

1.

b aka initial= 5.72

m=2.42

this is a linear relationship as it is increasing by the same amount every year

y=2.42x+5.72

2.

x and y are directly proportional as one increases the other increases as well

3. x=number of years since 1998

x=2003-1998=5 years

y=2.42x+5.72 --> substitute x

y=2.42(5)+5.72

y=17.82

value of the card in 2003 was $17.82

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1