Please help me i have tried so hard to figure this out but im stumped.If you ever swam in a pool and your
eyes began to sting and turn red, you felt the effects on 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.
Complete Questions 1 and 2 on your
own. Work with your partner to answer Question 3.
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. You may need to zoom in on your graph.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. Graph the parent pH function p(t) = −log10t and
the transformations below on the same graph. Send the graph to your
partner. Your partner will explain which transformation results in a
y-intercept and why. You may graph by hand or using technology. Use
complete sentences.p(t) + 1p(t + 1)−1 • p(t)