Question

A glass bottle filled with oil weighs 590 grams. After Sophia uses 200 milliliters of oil, the bottle weighs 400 grams. The weight M of the bottle of oil, in grams, is a function of V, the volume, in milliliters, of oil Sophia has used. Write the function’s formula. M=__

Answer 1

Answer:  The answer is $M=590-\dfrac{19}{20}V.$

Step-by-step explanation: Given that a glass bottle is filled with oil weighs 590 grams. After that, Sophia uses 200 millilitres of oil and then the bottle weighs 400 grams.

Therefore, the weight of the oil that Sophia uses = 590 - 400 = 190 grams.

That is, 190 grams = 200 millilitres, so

$1~\textup{ ml}=\dfrac{190}{200}~\textup{grams},\\\\\textup{V ml}=\dfrac{19}{20}\textup{V}~\textup{grams}.$

So, the relation between the weight 'M' of the bottle of oil, in grams, is a function of 'V', the volume of oil Sophia used is given by

$\textup{M}=590-\dfrac{19}{20}\textup{V}.$