At a summer camp there is one counselor for every 6 campers. write a direct variation equation for the number of campers, y, that there are for x counselors. then graph.

The direct variation equation can be given as:

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:

Number of campers

Number of counselors

We have ∝

The direct variation equation can be written as:

where is the direct variation constant.

There are 6 campers under one counselor. Using this statement we can find value of

Given: when then

We have,

∴

Thus, the direct variation equation can be given as:

We can find the points using the equation to plot.

0                      0

1                       6

2                     12

The graph is sown below.

a variable is any characteristics, number, or quantity that can be measured or counted. a variable may also be called a data item. hope i !