Answer:
(a) y = x/8
(b) y = 7/8
Explanation:
You want a direct variation equation that relates x and y, given y = 2 when x = 16.
(a) Direct variation
The equation for direct variation is usually written in the form ...
y = kx
where k is the constant of proportionality.
The value of k can be found from ...
k = y/x . . . . divide by x
For the given values, k is ...
k = 2/16 = 1/8
The direct variation equation is ...
y = (1/8)x
(b) Find y
The value of y for x=7 is found by substituting 7 for x in the equation above:
y = (1/8)·7
y = 7/8
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