Answer: 3
Step-by-step explanation:
Wins Losses Pattern
18 2 18 ÷ 2 = 9
45 5 45 ÷ 5 = 9
36 4 36 ÷ 4 = 9
27 x
Using the same pattern we have
27 ÷ x = 9
→ x = 3
Will can predict 3 losses for next year if the number of games won is 27, as wins and losses are in proportion.
Ratios are fractional values representing relations between two quantities.
When two or more ratios are equal, they are said to be in proportion.
In the question, we are informed that Will records the wins and losses for his high school basketball team each year. He notices that the ratio of wins to losses has been consistent each year.
Consistency of the ratio means that they are in proportion, that is,
wins : losses = Constant.
In the table, we are given wins and losses as:
Wins Losses
18 2
45 5
36 4
27 x
We are asked to use the given information, to find the number of losses that can be predicted if the number of games won is 27.
This quantity is shown as x in the given table.
As the ratio of wins and losses in proportion, we can say that
18/2 = 27/x
or, x = (27*2)/18 = 54/18 = 3.
∴ Will can predict 3 losses for next year if the number of games won is 27, as wins and losses are in proportion.
Learn more about Proportions at
brainly.com/question/870035
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