Answer: The explanation is mentioned below.
Step-by-step explanation:
Since, for the members, the rate of token, y= x/10 + 60 ----(1)
where x represented the number of people.
While the rate of token for non members, the rate is y =x/5 -----(2)
From equation (1) and (2) we can say that the slope of line (1) is 1/10( by comparing given equation with y=mx+c)
while the slope of line (2) is 1/5
Therefore, the slope of (1)<slope of (2) ( which is also shown in graph )
Now, the value of y in case of equation (1) is higher than that of equation (2)
Therefore, The rate for member is greater than rate of non members. ( this is why the graph of equation (1) is higher than that of (2))
We summarize the conclusions:
1) Yearly costs for non-members are less than the one for members at [tex]x = 0.[/tex]
2) At low values of [tex]x[/tex], yearly costs for non-members are less than the one for members. Nevertheless, the former has higher increase rates than the latter as [tex]x[/tex] becomes greater.
3) At high values of [tex]x[/tex], yearly costs for non-members are more than the one for members.
Linear Functions are Polynomic Functions of the form:
[tex]y = m\cdot x + b[/tex] (1)
Where:
In other words, Linear Functions are characterized both by Slope and Intercept. Besides, these characteristics represent the following Variables:
Slope - Yearly cost increase rate, in dollars per total game token.
Intercept - Fixed cost, in dollars.
Based on the information given in the statement, we make the following conclusions:
1) Yearly costs for non-members are less than the one for members at [tex]x = 0.[/tex]
2) At low values of [tex]x[/tex], yearly costs for non-members are less than the one for members. Nevertheless, the former has higher increase rates than the latter as [tex]x[/tex] becomes greater.
3) At high values of [tex]x[/tex], yearly costs for non-members are more than the one for members.
Please see this question related to Linear Functions: https://brainly.com/question/11651819
