Question

Write a direct variation that relates x to y. Then show both equations and solution. If y=8 and x=4, find y when x=5

Answer 1

since y varies directly with x
therefore
\[y \alpha x \rightarrow y =kx\] where k is any constant
now at y=8 and x=4 we need to find k
so \[8=k \times 4\rightarrow k = \frac{8}{4} \rightarrow k=2\]
Now substituting k =2 in y =kx we find y=2x
Now at x=5 we are required to find the value of y
so y= 2*5=10
i.e. y =10
Thus at x=5, y=10

Answer 2

ty sir/mam