Campers = y and counselors = x.....1 counselor to 5 campers
y = kx
k = y/x
k = 5/1
y = 5x
lets check..
y = 5x....lets say u have 2 counselors...sub in 2 for x
y = 5(2)
y = 10....so when there is 2 counselors, there are 10 campers
y = 5x...lets say u have 3 counselors...sub in 3 for x
y = 5(3)
y = 15...so when there are 3 counselors, there are 15 campers
2/10 reduces to 1/5
3/15 reduces to 1/5
so yes, this is a direct variation with ur equation being y = 5x
The answer is very simple .
First you need to determine the slope, which is the reciprocal of the first line.
Then,
y = mx + b
m => -1/m
The perperdicular line has a new slope equal to m = -1/2
In the formula (y - y1) = m ( x - x1 ) + b , you should sustitude this value.
So the final equation will be
-3 = -1/2 (0) + b
b = - 3
y = (-1/2)x - 3
That is the solution
So the length and width would be 7 and 4. hope that helped
