Hey could you please answer these and explain thoroughly?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) = –log
10
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.
1)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.
2) 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.
3) The pool company has developed new chemicals that transform
the pH scale. Using the pH function p(t) = –log
10
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)
This question was answered on: May 23, 2022
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