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What is the direct variation equation for the table of ordered pairs?

X Y
60 48
70 56
80 64

1 Answer

6 votes
Answer:
y = 0.8x

Step-by-step explanation:
We are given that y is directly proportional to x. This means that as the value of x increases, the value of y would increase and vice versa.

The general equation representing this is:
y = kx where k is the constant of proportionality

To get k, we will use the given x and y values as follows:
y = kx
at x = 60 and y = 48:
48 = 60k
k = 0.8

at x = 70 and y = 56:
56 = 70k
k = 0.8

at x = 80 and y = 64:
64 = 80k
k = 0.8

From the above, we can confirm that the constant of proportionality (k) is equal to 0.8.
This means that the equation is:
y = 0.8x

Hope this helps :)
User Hamed
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