At batting practice Alexis hit 8 balls out of 15 into the outfield. Which equation below can be used to determine the percentage of balls it into the outfield?A. 15/8 = x/100B. 15/100 = x/8C. 8x = (100)(15)D. 15/8 = 100/x

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EXPLANATION

Since Alexis hit, the appropriate relationship should consider a division between the number of balls Alexis hit and the total.

Dividing them gives the following expression:

[tex]\frac{8}{15}[/tex]

Now, in order to represent as a percentage, we must multiply this fraction by 100:

[tex]\frac{8}{15}*100[/tex]

Equaling the fraction to x, assuming that x represents the computed percentage:

[tex]\frac{8}{15}*100=x[/tex]

Dividing both sides by 100:

[tex]\frac{8}{15}=\frac{x}{100}[/tex]

Reversing the fractions:

[tex]\frac{15}{8}=\frac{100}{x}[/tex]

In conclusion, the equation that gives the appropriate relationship is OPTION D

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