Answer: y = 7.5x
This is the same as writing y = (15/2)x but I think decimal form is better to work with here.
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Explanation:
Focus on any row where x and y are nonzero.
Divide the y over x values.
- Row two: y/x = 15/2 = 7.5
- Row three: y/x = 22.50/3 = 7.5
- Row four: y/x = 45/6 = 7.5
- Row five: y/x = 75/10 = 7.5
No matter what row you pick, computing y/x leads to 7.5
Since y/x = 7.5, that rearranges to y = 7.5x after multiplying both sides by x.
This is a direct proportion equation. The constant of proportionality is 7.5, which says that y is 7.5 times that of x.
We don't use the first row x = 0 and y = 0 because dividing by zero is not allowed.
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To check the answer, plug in a value like x = 2 to find that...
y = 7.5x
y = 7.5*2
y = 15
This confirms the row with x = 2 and y = 15. I'll let you check the other rows. This time x = 0 is allowed to be plugged in.
