If you ever swam in a pool and your eyes began to sting and turn red, you felt the effects of an incorrect pH level. pH measures the concentration of hydronium ions and can be modeled by the function p(t) = −log10t. The variable t represents the amount of hydronium ions; p(t) gives the resulting pH level. Water at 25 degrees Celsius has a pH of 7. Anything that has a pH less than 7 is called acidic, a pH above 7 is basic, or alkaline. Seawater has a pH just more than 8, whereas lemonade has a pH of approximately 3.
Questions: 1. Create a graph of the pH function either by hand or using technology. Locate on your graph where the pH value is 0 and where it is 1.
2. The pool maintenance man forgot to bring his logarithmic charts, and he needs to raise the amount of hydronium ions, t, in the pool by 0.50. To do this, he can use the graph you created. Use your graph to find the pH level if the amount of hydronium ions is raised to 0.50. Then, convert the logarithmic function into an exponential function using y for the pH.
The pool company developed new chemicals that transform the pH scale. Using the pH function p(t) = −log10t as the parent function, explain which transformation results in a y-intercept and why. You may graph by hand or using technology. Use complete sentences and show all translations on your graph. p(t) + 1 p(t + 1) −1 • p(t)
|dw:1440332390268:dw| I have this, what else do I need to know for #1?
sounds to me that whilst you can do this by hand, tech is what you need https://www.desmos.com/calculator/nlfiddls9d you can play with this and do the zooming they mention, and you can read (,y) values of the curve by touching on it of course you may already use desmos
I do and it does not provide the information I need. Thank you though
your choice but you can do virtually all of this on desmos https://gyazo.com/9809125bca281ba665ae9fe81fe45e96