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Janelle came to bat 464 times in 131 games. At this rate, how many times should she expect to have at bat in a full season of 162 games?

Sagot :

The rate at which she bats is an illustration of ratio and proportions

She's expected to bat 574 times in 162 games

In 131 games, she bat 464 times

Represent this as a ratio

[tex]\mathbf{Ratio = 131 : 464}[/tex]

Let the number of times she bat in 162 games be represented with x.

So, the ratio is represented as:

[tex]\mathbf{Ratio = 162 : x}[/tex]

Equate both ratios

[tex]\mathbf{162 : x = 131 : 464}[/tex]

Express as fractions

[tex]\mathbf{\frac{x}{162 }= \frac{464}{131 }}[/tex]

Multiply both sides by 162

[tex]\mathbf{x= \frac{464}{131 } \times 162}[/tex]

Multiply

[tex]\mathbf{x= \frac{75168}{131 } }[/tex]

Divide

[tex]\mathbf{x= 574}[/tex]

Hence, she's expected to bat 574 times in 162 games

Read more about ratios and proportions at:

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