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Mathematics 8 Online
OpenStudy (majesty69):

Long and complicated question!

OpenStudy (majesty69):

If you have ever swum in a pool and your eyes began to sting and turn red, you are aware of the effects on an incorrect pH level. The pH level measures the concentration of hydronium ions and can be modeled by the function p(t) = –log10 t. The variable t represents the amount of hydronium ions, and p(t) gives the resulting pH level. Water at 25 degrees Celsius has a pH of 7. Anything that has a pH lower than 7 is called acidic, while a pH above 7 is basic, or alkaline. Seawater has a pH just over 8, while lemonade has a pH of approximately 3. Create a graph of the pH function. Locate on your graph where the pH value is 0 and where it is 1. You may need to zoom in on your graph. A pool company forgets to bring their logarithmic charts, but they need to raise the amount of hydronium ions in a pool by 0.50. Using complete sentences, explain how your graph can be used to solve 10–y = 0.50. Find the approximate solution. The pool company has developed new chemicals that transform the pH scale. Using the pH function p(t) = –log10 t as the parent function, explain which transformation would result in a y-intercept. Use complete sentences and show all translations on your graph. • p(t) + 1 • p(t + 1) • –1 • p(t)

OpenStudy (majesty69):

@texaschic101 @thesmartone @perl @nnesha @amistre64

OpenStudy (sdfgsdfgs):

P(t) should like this: https://www.wolframalpha.com/input/?i=p%28t%29+%3D+%E2%80%93logt this must be like the longest question i have seen on OS!

OpenStudy (majesty69):

Actually like this lol remember ;) https://www.wolframalpha.com/input/?i=p%28t%29+%3D+%E2%80%93logt it's the same thing though lol

OpenStudy (sdfgsdfgs):

@Majesty69 yup, its the same plot but doesnt help in answering the Q. i dont think its sufficient info; just asking u to explain the steps involved in solving the prob.

OpenStudy (majesty69):

So far I have for the first question - The graph helps you see what pH you started off with and what you are trying to end with. When there is an increase in concentration then the pool will be able to reach the pH it’s supposed to be.

OpenStudy (majesty69):

I don't understand how to find the approximate solution @dan815

OpenStudy (dan815):

There is something wrong with this equation

OpenStudy (dan815):

oh nvm i see okay so PH drops with more hydronium ions?

OpenStudy (majesty69):

Yes

OpenStudy (dan815):

makes sense because i think hydonium is the OH3+ groups so techniaclly we are adding more of hte OH alcohol / basic parts

OpenStudy (dan815):

anyways just graph the equation

OpenStudy (majesty69):

what equation?

OpenStudy (dan815):

|dw:1429922276906:dw|

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