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maxonik [38]
1 year ago
13

write an equation that represents the proportional relationship between oil and vinegar explain the meaning of the point

Mathematics
1 answer:
Kitty [74]1 year ago
6 0

To write and equation we call y=oil and x=vinager, so:

\begin{gathered} y=k\cdot x \\ \text{Where k is some constant of proportionality} \end{gathered}

To find the constant k we can use the point in the picture (vinager, oil) = (x, y) = (1, 1.5), so:

\begin{gathered} x=1,y=1.5 \\ 1.5=k\cdot1\Rightarrow k=1.5 \end{gathered}

So, the equation is:

y=1.5x

Now, the meaning of the point (1, 1.5) is for 1 amount of vinager you need 1.5 amount of oil.

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The possible answer choices are all versions of the standard equation of a straight line:   Ax + By + C = 0.  If A and B are both positive, as they are here, then the slope is negative and has the form m = -A/B.  Only the first answer choice passes here:  with +2x and +1y, the slope is -2.  This automatically eliminates the other possibilities.

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