Question

The yearly cost in dollars , y, at a video game arcade based on total game tokens purchased, x, is y = 1/10x + 60 for a member and y=1/5x for a nonmember. Explain how the graph of a nonmembers yearly coat woll differ from the graph of a members yearly cost

Answer 1

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))

Answer 2

The graph of a non member's yearly cost is steeper, and also has a lower y-intercept. And the graph of a member's yearly cost starts higher, but is less steep.