SOLUTION: 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. A

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
RELATED QUESTIONS
Write a linear equation in slope intercept form form given the following The slope of... (answered by Alan3354)

The pool Entertainment company learned that by pricing a pool toy at GH¢10, local sales... (answered by Boreal)

An Investment is worth $ 3432 in 1991. By 1995 it as grown to $ 4132. Let y be the value (answered by Nate)

In 2002, the population of a certain country per square mile of land area was 87. In... (answered by ewatrrr)

write an equation in slope intercept form that describes the line with a slope of 4 and... (answered by rfer)

5.7 quiz 3.) Find an equation of the line that passes through the two given points.... (answered by josgarithmetic)

5.7 quiz 3.) Find an equation of the line that passes through the two given points.... (answered by stanbon)

In 2007, the population of a certain country per square mile of land area was 83.... (answered by ikleyn)

Decide whether the following function is linear or not linear. g(w)=−3−6w5 If the... (answered by jim_thompson5910)