The function f(x) varies directly with x and f(x)= 90 when x=30. What is f(x) when x=6?

1 Answer
Jim G.
Jun 21, 2018

f(x)=18

Explanation:

"the statement is "f(x)propx

"to convert to an equation multiply by k the constant"
"of variation"

f(x)=kx

"to find k use the given condition"

f(x)=90" when "x=30

f(x)=kxrArrk=(f(x))/x=90/30=3

"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(f(x)=3x)color(white)(2/2)|)))

"when "x=6" then"

f(x)=3xx6=18

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