Question

Find an equation of variation where y varies directly as x and y = 75 when x = 5, find y when x is 1.

Answer 1

so when you hear y varies directly as x, that means y = k*x. put in 75 for y and 5 for x and solve for k.

Answer 2

"where y varies directly as x"\[
y = kx
\]"y = 75 when x = 5"\[
75 = k(5)
\]

Answer 3

when you solve for k, you can put it in for y = k*1

Answer 4

"find y when x is 1"\[
k(1) = ?
\]

Answer 5

\[y = k*x\]
\[75 = k*5\]
\[75/5 = k\]
\[15 = k\]


\[y = 15(x)\]
\[y = 15*1\]
y = 15 when x = 1

Answer 6

thanks

Answer 7

no problem, happy to help!