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Question 203996: Assume the following describes a linear relationship. Write an equation in slope-intercept form. A faucet is used to add water to a large bottle that already contains some water. After it has been filling for 3 seconds, the gauge on the bottle indicates that it contains 10 ounces of water. After it has been filling for 20 seconds, the gauge indicates the bottle contains 24 ounces of water. Let y be the amount of water in the bottle x seconds after the faucet was turned on. Write a linear equation that models the amount of water in the bottle in terms of x.
Answer by scott8148(6628)   (Show Source):
You can put this solution on YOUR website! in 17 seconds (20 - 3) the bottle receives 14 ounces (24 - 10) of water ___ so the slope of the fill equation is 14/17
using y = 14/17 x + b and the point 3,10 we can solve for b (the initial amount of water)
10 = 14/17 * 3 + b ___ 128/17 = b
so the equation is ___ y = 14/17 x + 128/17
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