katiethatk12kid
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A water sprinkler system can water
1/5
of a yard in
1/10
of a hour. Compute the unit rate by setting up a complex fraction and simplifying.

A)
1 yards per hour


B)
2 yards per hour


C)
5 yards per hour


D)
10 yards per hour

Respuesta :

Poltergeist

Answer:

Choice B: 2 yards per hour.

Step-by-step explanation:

In order to compute the unit rate we have to divide the number of yards watered by the amount of hours taken:

[tex]\therefore Unit\: Rate =\frac{yards}{hours} =\frac{\frac{1}{5} yards}{\frac{1}{10}hours}.[/tex]

Take the reciprocal of the denominator of the expression and we get:

[tex]Unit\: Rate=\frac{\frac{1}{5} yards*10}{hours}.[/tex]

Which simplifies to

[tex]\frac{2 yards}{hour}[/tex]

Thus Unit rate = [tex]\frac{2 yards}{hour}[/tex] which is choice B.

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