A large koi poind is filled with a garden hose at a rate of 10 gallons per minute. after 10 minutes the gallon has 400 gallons of water
a. find a linear equation that models the number of gallons y of water in the pond after t minutes
y=10x+300
why is it 300?
a. find a linear equation that models the number of gallons y of water in the pond after t minutes
y=10x+300
why is it 300?
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If we fill it for 10 minutes at 10 gallons a minute, thats 100 gallons. However, after 10 minutes it says we have 400 gallons. There must have initially been 300 gallons in the pond already. 300 is the number of gallons at t=0
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Simply put, there are 10 gallons per minute, so after 10 minutes you will have 10*10 to give you 100 gallons added. Subtract 100 from 400 to get 300, the y-intercept (when the filling of the koi pond started).