Question

Derek Jeter, the short stop for the New York Yankees, a major league baseball team, played in 159 games in 2012 and hit 15 home runs. If he plays a total of 1272 games in his career, approximately how many home runs will he hit?
[A] Write a proportion that is defined by this situation.
[B] Explain how the cross product is used to solve the problem.
[C] Answer the question.

Answer 1

a. The the proportion that would be used is: 159/15 = 1272/x

b. See explanation for the cross product below.

c. Approximately 120 home runs will be hit.

What is a Proportion?

A proportion can be defined as an equation that involves comparing two equal ratios that are equivalent to each other or set equal to each other.

a. To write a proportion that defines the situation described above, let x represent the number of runs he will hit in his career.

Therefore, we would have the following proportion:

159:15 = 1272:x

or

159/15 = 1272/x

b. Using the cross product, we can find the value of x as shown below:

159 × x = 1272 × 15

159x = 19,080

Divide both sides by 159

159x//159 = 19,080/159

x = 120

c. The number of runs he will hit in his career is: 120.

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