MATH SOLVE

4 months ago

Q:
# At a summer camp there is one counselor for every 5 campers. Determine whether there is a direct variation between the number of campers, y, and the number of counselors, x. If so, find the equation of direct variation and you will get 20 points

Accepted Solution

A:

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

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