1. Find the constant of variation for the relationship f(x)=
4. If f(x) varies directly with x, and f(x) = 45 when x = 9,
find the value of f(x) when x = 3.
5. Which does not show a direct variation between x and y?
3. What is the direct variation equation if f(x) varies
directly with x and f(x) = –18 when x = 3?
f(x) = -1/6 x
f(x) = –3x
f(x) = –6x
f(x) = –15x
1. 50 is the constant of variation in f(x) = 50x
4. f(9) = 45, which means constant = 5, so when f(x) = 5x, f(3) = 5(3) = 15
5. y=4/x does NOT show a direct variation of y and x because x is in the denominator of a fraction and therefore, x is INVERSELY RELATED to y.
3. If f(x) = -18 when x= 3, then f(x) = -6x since -18/3 = -6
Hope I included all of the steps you needed.
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