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=3*8
y=24
So the new shower head dispenses 24 gallons in eight minutes.
y=8x
y=8*8
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 :)
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=3*8
y=24
So the new shower head dispenses 24 gallons in eight minutes.
y=8x
y=8*8
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 :)
[tex]40[/tex] 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.
[tex]y=3x[/tex]
Following, this pattern, the equation for the previous shower head is [tex]y=8x[/tex]
Amount of water dispensed previously
[tex]=3[/tex]×[tex]8=24[/tex]
Amount of water dispensed after change in shower
[tex]=8[/tex]×[tex]8=64[/tex]
Total water Andrew save each day with the change in shower
[tex]=64-24=40[/tex] gallons
Hence, we can conclude that [tex]40[/tex] 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:
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