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.

Answer 1

Water at 25 degrees Celsius has a pH of 7. Anything that has a pH lower than 7 is called acidic, while pH's above 7 are 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) = –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

This is my weakness, Logarithmics

Answer 3

El nivel de pH mide la concentración de iones hidronio y puede ser modelado por la función p (t) =-log10 t. La variable t representa la cantidad de iones hidronio, y p (t) da el nivel de pH resultante.

1. Crear un gráfico de la función de pH. Localizar en el gráfico en el que el valor de pH es de 0 y donde es 1. Puede que tenga que hacer un zoom en el gráfico.


Which problem would you like to focus on, the first one or the one you've just typed in?

I do know some Spanish, but I used Google Translate to translate the question into Spanish.

Answer 4

Water at 25 degrees Celsius has a pH of 7. Anything that has a pH lower than 7 is called acidic, while pH's above 7 are 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.

Answer 5

hahaha thanks, that's good, ok, just let's focus in question 2 and 3 because number 1 I already answerred*

Answer 6

Disculpe ... que estoy pensando. Estará de vuelta.

We know that p(t) = –log10 t; we can re-write this as y = –log10 t

10^–y = 0.50

Answer 7

yes

Answer 8

You have already done part 1, so you already have a graph, right? Could you quickly sketch your graph in the Draw utility (below)?