Answer:
It will take 2.8 minutes
Step-by-step explanation:
Given
[tex]x \to Minutes[/tex]
[tex]y \to Gallons[/tex]
See attachment for complete question
Required
Time to fill the tube with 46.2 gallons
The attached table is a represents a direct proportional relationship between x and y.
This relationship is:
[tex]y = kx[/tex]
Where k is the constant of proportionality.
When (x,y) = (1,16.5), we have:
[tex]16.5 = k*1[/tex]
[tex]16.5 = k[/tex]
[tex]k=16.5[/tex]
So, we have:
[tex]y = kx[/tex]
[tex]y = 16.5x[/tex]
To calculate the required time to fill 46.2 gallons, we make x the subject
[tex]x = \frac{y}{16.5}[/tex]
Where
[tex]y =46.2[/tex]
[tex]x = \frac{46.2}{16.5}[/tex]
[tex]x = 2.8[/tex]
