Answer:
The direct variation equation can be given as:
[tex]y=6x[/tex]
Step-by-step explanation:
Given:
At a summer camp there are 6 campers under one counselor.
To find the direct variation equation for the number of campers in terms of number of counselor.
Solution:
[tex]y\rightarrow[/tex] Number of campers
[tex]x\rightarrow[/tex] Number of counselors
We have [tex]y[/tex] ∝ [tex]x[/tex]
The direct variation equation can be written as:
[tex]y=kx[/tex]
where [tex]k[/tex] is the direct variation constant.
There are 6 campers under one counselor. Using this statement we can find value of [tex]k[/tex]
Given: when [tex]x=1[/tex] then [tex]y=6[/tex]
We have,
[tex]6=k(1)[/tex]
∴ [tex]k=6[/tex]
Thus, the direct variation equation can be given as:
[tex]y=6x[/tex]
We can find the points using the equation to plot.
[tex]x[/tex] [tex]y=6x[/tex]
0 0
1 6
2 12
The graph is sown below.
