A standard showerhead in Reyna's house dispenses 9 gallons of water per minute. Reyna changed this showerhead to an energy-saving one. The equation shows the amount of water dispensed, y, as a function of the number of minutes, x, for the new showerhead.

y = 3x

How much water does Reyna save each day with the change in showerheads if he uses the shower for 8 minutes each day?

14 gallons
48 gallons
69 gallons
96 gallons

We have been a standard shower-head in Reyna's house dispenses 9 gallons of water per minute. The equation [tex]y=3x[/tex] shows the amount of water dispensed, y, as a function of the number of minutes, x, for the new shower-head.

As Reyna uses shower for 8 minutes each day and the old shower-head dispenses 9 gallons of water per minute, so water used by old-shower-head would be:

[tex]\frac{\text{9 gallons}}{\text{ minute}}\times 8\text{ minutes}[/tex]

[tex]\text{9 gallons}\times 8=72\text{ gallons}[/tex]

Water used by new shower-head would be [tex]3x=3\times 8=24[/tex].

[tex]\text{Water saved}=\text{72 gallons}-\text{24 gallons}[/tex]

[tex]\text{Water saved}=\text{48 gallons}[/tex]

Therefore, Reyna saves 48 gallons of water each day and option B is the correct choice.