5. Graphs of Proportional Relationships
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Solve for the variable by using the Cross Products Property.
x = 28
For the given ratios to be equivalent, we need them to be proportional. First we will write them as fractions and then we can set them equal to one another. Then we will have a proportion that we can solve for x.
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First Ratio: & 2:7 ⇒ 2/7 [0.8em]
Second Ratio: & 8:x ⇒ 8/x [0.8em]
Proportion: & 2/7=8/x
From here, we will continue solving for x by using the Division Property of Equality. 2x=56 ⇒ x = 28