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standard showerhead in Andrew's house dispenses 8 gallons of water per minute. Andrew changed this shower head 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 shower head.


y = 3x


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

5 gallons

16 gallons

24 gallons

40 gallons

Verified Answer :

Slope is the rate of change.
y=3x.
3 is the slope here, and it means that the new shower head dispenses 3 gallons per minute.
Following, this pattern, the equation for the previous shower head is y=8x.
From this point, there are two ways to solve this:
Way 1: Input x, which in this case is 8 minutes, into each equation, and then find the difference with subtraction.
y=3x
y=38
y=24
So the new shower head dispenses 24 gallons in eight minutes.
y=8x
y=88
y=64
Therefore, you can conclude that the old shower head dispensed 64 gallons in eight minutes.
To figure out how much he saves, subtract the values:
64-24= 40 gallons.
Way 2) Find the difference before substitution:
y=8x-3x
y=5x
Substitute for x.
y=5*8
y=40 gallons
Therefore, the answer is D. 40 gallons. I hope this helped :)

\(40\) gallons water  Andrew save each day with the change in shower heads if he uses the shower for 8 minutes each day

What is equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

According to questions, standard showerhead in Andrew's house dispenses 8 gallons of water per minute. Andrew changed this shower head 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 shower head.

\(y=3x\)

Following, this pattern, the equation for the previous shower head is \(y=8x\)

Amount of water dispensed previously

\(=3\)×\(8=24\)

Amount of water dispensed after change in shower

\(=8\)×\(8=64\)

Total water  Andrew save each day with the change in shower

\(=64-24=40\) gallons

Hence, we can conclude that \(40\) gallons water  Andrew save each day with the change in shower heads if he uses the shower for 8 minutes each day.

Learn more about equation here:

brainly.com/question/21105092?referrer=searchResults

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