Q:

The value of a baseball player's rookie card began to increaseonce the player retired in 1996. The value has increased by$2.52 each year since then.a. How much was the baseball card worth in 1997?In 1998? In 1999?b. Construct Arguments Why is there not a proportionalrelationship between the years since the player retired andthe card value? Explain.

Accepted Solution

A:
Answer:The card worth in 1997 is $9.98 The card worth in 1998 is $12.50The card worth in 1999 is $15.02The relationship is not proportional as the ratio of year to value would be constant .Step-by-step explanation:Consider the provided information.The value of card is $7.46The value of a baseball player's rookie card began to increase  once the player retired in 1996. The value has increased by  $2.52 each year since then.Part (A)  How much was the baseball card worth in 1997? In 1998? In 1999?To find the card worth in 1997 simply add $2.52 and $7.46.$7.46+$2.52=$9.98 Hence, the card worth in 1997 is $9.98 For 1998 To find the card worth in 1998 simply add $2.52 and $9.98.$9.98+$2.52=$12.50Hence, the card worth in 1998 is $12.50 For 1999To find the card worth in 1999 simply add $2.52 and $12.50.$12.50+$2.52=$15.02Hence, the card worth in 1999 is $15.02Part (b) Construct Arguments Why is there not a proportional  relationship between the years since the player retired and  the card value?Proportional relationships are relationships where their proportions are equal for two variables.Now find that whether the relation is proportional or not.[tex]\frac{1996}{7.46} =\frac{1997}{9.98} \\267.56=200.100[/tex]which is not true.Hence, the relationship is not proportional as the ratio of year to value would be constant .