Explain why each table determine if y is proportional to x .
1 answer:
Answer:
see explanation
Step-by-step explanation:
If y is proportional to x then the equation relating them is
y = kx ← k is the constant of proportion
To find k divide both sides by x
k =
This value must be constant for all ordered pairs, thus
k = =
k = =
k = =
k =
Since k is constant for all ordered pairs then y is proportional to x
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Consider the equation
1) First row of the table
Set x=0 and solve as follows:
The answer is y=20 and the pair x-y is (0,20)
2) Second row
Set x=1 and solve, as follows:
The answers are y=10 and (1,10)
3) Third row.
Set y=0 and solve as follows:
The answers are x=2 and (2,0)