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Kaylee put an empty cup underneath a leaking faucet. After 1 1/2 hours, Kaylee collected 1/4 cup of water. What is the rate in cups per hour, at which the water is leaking from the faucet.

Question 2 options:

1/6 cups per hour


3/8 cups per hour


8/3 cups per hour


6/1 cups per hour

Respuesta :

frika

Answer:

[tex]\dfrac{1}{6}\ \text{cups per hour}[/tex]

Step-by-step explanation:

V = volume

r = rate

t = time

Use formula [tex]V=r\cdot t[/tex] connecting volume, rate and time.

In your case,

[tex]V=\dfrac{1}{4}[/tex] cup of water

[tex]t=1\dfrac{1}{2}[/tex] hours

r is unknown.

Substitute all data into the formula:

[tex]\dfrac{1}{4}=r\cdot 1\dfrac{1}{2}\\ \\\dfrac{1}{4}=r\cdot \dfrac{3}{2}\\ \\2\cdot \dfrac{1}{4}=3r\ [\text{Multipled by 2}]\\ \\3r=\dfrac{1}{2}\\ \\r=\dfrac{\frac{1}{2}}{3}\ [\text{Divided by 3}]\\ \\r=\dfrac{1}{6}\ \text{cups per hour}[/tex]

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