1. Find the constant of variation for the relationship f(x)= 50x.

x

f(x)

5

50

4. If f(x) varies directly with x, and f(x) = 45 when x = 9, find the value of f(x) when x = 3.

9

15

27

5. Which does not show a direct variation between x and y?

Y=4/x

Y=0.5x

Y=7x

7=x/9

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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