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) = -log it. 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.
1. Create a graph of the pH function either by hand or using technology. Identify and label 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 amount of hydronium ions, t, in the pool to 0.45 to do this, he can use the graph you created. Use your graph to find the pH level if the amount of hydronium is raised to 0.45. Then, convert the logarithmic function into an exponential function using y for the pH