If m varies directly as p, a $m = 20 \text { when } p = 4$ , find m when p is 8.
A) 25
B) 16
C) 64
D) 40

Question

Quizplus · Accepted Answer

Since m varies directly as p, we can write the equation $m = kp$, where $k$ is the constant of variation. Given $m = 20$ when $p = 4$, we can find $k$ by substituting these values into the equation, giving $20 = k(4)$, so $k = 5$. To find $m$ when $p = 8$, substitute $p = 8$ into the equation $m = 5p$, giving $m = 5(8) = 40$.

If M Varies Directly as P, A m=20 when p=4m = 20 \text { when } p = 4m=20 when p=4

If M Varies Directly as P, A $m = 20 \text { when } p = 4$