Drag and drop numbers into the boxes so that the paired values are in a proportional relationship.

Mathematics

1 answer:

mezya [45]3 years ago

4 0

Answer:

A=6 and B=4.5

Step-by-step explanation:

You are given table

$\begin{array}{cccccc}x&2&4&[A]&7&9\\y&1&2&3&3.5&[B]\end{array}$

If the paired values are in a proportional relationship, then

$\dfrac{2}{1}=\dfrac{4}{2}=\dfrac{[A]}{3}=\dfrac{7}{3.5}=\dfrac{9}{[B]}.$

Note that

$\dfrac{2}{1}=\dfrac{4}{2}=\dfrac{7}{3.5}=2,$

then

$\dfrac{[A]}{3}=2\Rightarrow [A]=6,\\ \\\dfrac{9}{[B]}=2\Rightarrow [B]=\dfrac{9}{2}=4.5.$

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See attached picture for the graph.