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Mathematics 15 Online
OpenStudy (anonymous):

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. explain how your graph can be used to solve 10–y = 0.50. find the approximate solution.

OpenStudy (anonymous):

@mathmale

OpenStudy (mathmale):

I need to think about this. I'd encourage you to do the same, at the same time. Is this new question a continuation of the previous one?

OpenStudy (anonymous):

i don't think so

OpenStudy (mathmale):

the problem does mention: "your graph." could this mean a new graph or the previous one? was there a graph with this current problem?

OpenStudy (anonymous):

ah, yes i think the graph from the previous question (y = -log t)

OpenStudy (mathmale):

Too bad I can't see the previous problem. Without seeing it, I have to assume that t represents the number of hydronium ions in the pool water, and that we need to increase the number of such ions by 0.50 units. I need to ask you to review the previous problem and then tell me whether or not my assumption makes sense to you.

OpenStudy (anonymous):

it was with the problem we just did

OpenStudy (mathmale):

Please re-read my previous comments: I have to make an assumption; can you agree with it or do you disagree? Need your input.

OpenStudy (anonymous):

oh yes it does, we take the previous graph and increase by 0.50

OpenStudy (mathmale):

Yes, or in other words, we increase t by 0.50. Here's what I'd do: I'd choose an arbitrary t value, such as 10, find the pH corresponding to that t value, and then add 0.50 to it, and then estimate the new pH from the graph. For example, were we to choose t value 10, the ph would be 1 (we discussed that earlier); we'd want to estimate what the pH would be for 10 + 0.5 = 10.5 by drawing a vertical line upward from the t axis to the graph and then a horiz. line towards the left to intersect the y-axis. The new pH would be lower; you could estimate its value from the graph.

OpenStudy (anonymous):

oh, and for the one that equaled 0.1, it would be 10.1 when the pH is 1?

OpenStudy (mathmale):

that's the way I undrstand it, yes.

OpenStudy (anonymous):

so thats it for this question? thats all we needed to do

OpenStudy (mathmale):

I don't truly understand what the question is asking when it presents 10-y =0.50. the way I saw it, we were increasing the number of ions in the water by 0.50 units, and thus the pH would decrease.

OpenStudy (mathmale):

So, again, I'm sharing with you what I perceive to be the question at hand; unfortunately, if any preception or assumption I make is incorrect, then our answer may be wrong. At this point, all I can suggest is that you review our discussion and make a decision regarding the corerct answer that makes sense to YOU.

OpenStudy (mathmale):

I hope you can get partial credit for your work. Is this one of those four-possible-answers, multiple choice questions?

OpenStudy (anonymous):

no, this is a long response question. i think this answer will suffice because we did do what the asked for

OpenStudy (mathmale):

I'm very glad. I'm sure you'll get at least partial credit. Have to get off the 'Net now. Enjoyed our conversation and hope to see youa gain soon here on OpenStudy!

OpenStudy (anonymous):

thank you!

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