Question

FAN + MEDAL!!!

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.

Answer 2

I'm using Geogebra..

Answer 3

Good, type p(t) = –log10 t
Find where on the graph where p(t) is 1 and 0

Answer 4

-log*

Answer 5

p(t)=-log10t?

Answer 6

so 1=-log10t

Answer 7

and so 0=-log10t

Answer 8

so what is the question?

Answer 9

you want to graph the hydronium and hydroxide ions from pH 3 to 8?

Answer 10

How would i set the equation so i can find it in a graph?

Answer 11

well it depends, the graph can be represented in log form, but it also can be represented in linear form

Answer 12

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)

these are the next questions, but i'm trying to take it step by step
Not really good at this :/

Answer 13

I would assume log form since the lesson involves log

Answer 14

nice copy and paste :)

Answer 15

Haha yea.

Answer 16

this looks like it should be a chemistry question that utilizes algebra

Answer 17

what the heck am I suppose to do with those diamond question marks?

Answer 18

Unfortunately it's alg 2 :/

Answer 19

it is easy
when you said by 0.50 is it in pH ?

Answer 20

p(t) + 1
p(t + 1)
–1 • p(t)

Answer 21

you can ask miracrown, she's good at math actually... I am just a nincompoop

Answer 22

-1 * p(t)

Answer 23

Haha dang, and you should disregard the question marks.

Answer 24

okay I am going to assume you want to raise the pH level by half a step 0.50

Answer 25

Yea, i'm pretty sure you would have to raise it by .5

Answer 26

But to raise that you would need to graph the first problem
And that's where im having issues with

Answer 27

what do you now about logs so far ?