SAT Khan Academy Solving Interpreting Nonlinear Equations Level 2

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Watch me solve 5 "Interpreting Nonlinear Equations" level 2 problems from Khan Academy. Tune in to gain clarity on these tough problems!

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is stuff like the hose problem acc going to be on the sat? cuz if it is im

hiyashah
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Are questions on sat hard like these??

nhsisbxksos
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When you have a hose with water coming out at a certain rate and you want the water to come out faster, what do you do?  You partially cover the hose (usually with your thumb) and the water sprays out much quicker.  That's the idea that they want you to get.  So, for example, if the area of the hose was 16 square inches and the water was coming out at 30 in/sec.  And if you decrease the opening by 1/4, the area would be 12 square inches but the water HAS to come out quicker based on Bernoulli's principle.  So the velocity of the water would have to increase to 40 in/sec, which represents an increase of 4/3 or 133% increase. The basic idea is that when you partially cover the opening of a hose that has water coming out at a certain rate, it creates more pressure which forces the water to come out quicker; otherwise, your hose would explode.  When you want water to come out of a hose or faucet faster without turning the water up, you simply decrease the opening area.  Turn on your faucet and let the water run and then partially cover the opening of the faucet with your finger, what happens to the water?  It sprays out farther and faster...Bernoulli's equation in action.  Basically, this is an inverse proportion.  If the area (opening) decreases, then the velocity of the water has to go up to maintain the equation.

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