(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Janine, a science student, measured the volume of carbon dioxide gas that can be absorbed by one cubic centimeter of charcoal at pressure x. She made the following four sets of measurements:

(120, 3.1)

(340, 5.5)

(534, 7.1)

(698, 8.3)

Janine finds that the volume, f(x), to be a function of pressure, x, and decides to use the formula discussed earlier in this project to fit her data. Recall that the formula is:

f(x) = A + B(x – xo) + C(x – xo)(x – x1) + D(x – xo)(x – x1)(x – x2)

where A, B, C, and D are constants, while xo, x1, x2 are the x-coordinates of three of the data points given.

When we use Janine’s data, what would the value of A be?

3. The attempt at a solution

f(x)=A+B(x-120)+C(x-120)(x-340)+D(x-120)(x-340)(x-534)

That's how I set it up, but I got lost after that. Do I need to factor everything else? I'm not sure how to find A if nothing else is given.

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# Homework Help: PreCalc. Finding the value

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