A garden hose fills a 2-gallon bucket in 5 seconds.
The number of gallons, g, is proportional to the number of seconds, t, that the water is running.
Which equation represents the relationship between g and t? Select all that apply.
A. g = 0.4t
B. t = 0.4g
C. g = 2.5t
D. t = 2.5g
E. g = 25t

Respuesta :

The filling rate is 2/5=0.4 gallons per second. So the appropriate equation is A.

Answer:

The equations [tex]t=0.4g[/tex] and [tex]g=2.5t[/tex] represents the correct relationship. Hence, options (A) and (C) are correct.

Step-by-step explanation:

Given:

The number of gallons is g .

Time taken is t.

Since, time taken to fill 2-gallon bucket is 5 seconds. Which means,

5 seconds taken = To fill 2-gallon bucket

[tex]5t=2g\\t=\dfrac{2}{5}g \\t=0.4g[/tex]

or

To fill 2-gallon bucket = 5 seconds is taken

[tex]2g = 5t\\g=\dfrac{5}{2}t\\g=2.5t[/tex]

Thus, equations [tex]t=0.4g[/tex] and [tex]g=2.5t[/tex] represents the correct relationship.

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https://brainly.com/question/24085666?referrer=searchResults