What is the direct variation equation for the table of ordered pairs? x y 60 48 70 56 80 64

y = 0.8x

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 :)

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