Question

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.

Answer 1

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) = –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)

Answer 2

(1)
At pH = 0, t ≈ 0.1
At pH = 1, t ≈ 0.0375

(2)
Read concentration of hydronium ions at pH 10.5 on the graph and that at 10.0. Then subtract one from the other.

∆t ≈ 2630 - 2200
≈ 430

(3)
p(t) + 1 -- shift the parent function up by 1
p(t + 1) -- shift the parent function left by -1
–1•p(t) -- turn the parent function upside down

Answer 3

thanks :)

Answer 4

Ur welcomed! Glad to help u!!: )

Answer 5

but could you explain how you got those?

Answer 6

@wio

Answer 7

I explained my understandings!

Answer 8

i have seen this before, but sorry for wasting your time. Thanks a lot though :)