Question

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

Answer 1

Answer:

B. 48 gallons.

Step-by-step explanation:

We have been a standard shower-head in Reyna's house dispenses 9 gallons of water per minute. The equation $y=3x$ 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:

$\frac{\text{9 gallons}}{\text{ minute}}\times 8\text{ minutes}$

$\text{9 gallons}\times 8=72\text{ gallons}$

Water used by new shower-head would be $3x=3\times 8=24$.

$\text{Water saved}=\text{72 gallons}-\text{24 gallons}$

$\text{Water saved}=\text{48 gallons}$

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

Answer 2

48 gallons is the best choice of those listed.

Hope this helps!