To find the equation that models this variation, we can use the formula for direct variation: y = kx, where y is the dependent variable, x is the independent variable, and k is the constant of variation.
In this case, the dependent variable is the amount of months that pass, m, and the independent variable is the amount of gallons that are leaked, g. So, our equation will be m = kg.
We are given that the faucet leaks one gallon every 1.33 months. So, when g = 1, m = 1.33. Substituting these values into our equation, we get 1.33 = 1k, which means k = 1.33.
Therefore, the equation that models this variation is m = 1.33g.
To find how many months it will take for the faucet to leak 7 gallons of water, we substitute g = 7 into our equation:
m = 1.33(7)
m = 9.31
It will take 9.31 months for the faucet to leak 7 gallons of water.
A broken faucet leaks one gallon every 1.33 months. the amount of months that pass,m, varies directly with the amount of gallons that are leaked, g. find the equation that models this variation. How many months will it take for the faucet to leak 7 gallons of water
1 answer
1 answer