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590 grams - 400 grams = 190 grams

190 grams = 200 milliliters

M = 590 - ( 19/20 V )

Hope this helps :]

The full equation is M = -0.95V+590  but the "M=" portion isn't typed in the box.

Explanation:

For now, I'll use x in place of V and y in place of M

If Sophia uses x = 0 mL of oil, then the bottle weighs y = 590 grams since that's the starting amount. This leads to the ordered pair (x,y) = (0,590).

If she uses x = 200 mL of oil, then the weight is now y = 400 grams. We have another point (200,400)

Let's compute the slope through the points (0,590) and (200,400)

m = (y2-y1)/(x2-x1)

m = (400-590)/(200-0)

m = -190/200

m = -0.95

The slope is -0.95

The y intercept is 590 because this is the starting amount

We go from y = mx+b to y = -0.95x+590

Then we'll replace x with V and y with M to get M = -0.95V+590

Let's see what happens if she uses V = 200 mL

M = -0.95V + 590

M = -0.95*200+590

M = -190+590

M = 400

That helps confirm the answer.

The portion -0.95*200 = -190 represents Sophia using 190 grams of oil (ie 590-400 = 190).

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step-by-step explanation: