Question

The yearly cost in dollars, y, at a video game arcade based on total game tokens purchased, x, is y = x + 60 for a member and y = x for a nonmember. Explain how the graph of a nonmember’s yearly cost will differ from the graph of a member’s yearly cost.

Answer 1

We have the yearly cost in dollars y at a video game arcade based on total game tokens purchased $x$. So we know that:

$y=x+60:\ equation \ for \ a \ member$

$y=x:\ equation \ for \ a \ nonmember$

Then we can study this problem by using the graph in the figure below. We know that if there's no any purchase, the yearly cost for a member will be $60 and for a nonmember there will not be any cost. From this, we can affirm that the cost of membership is equal to $60.

On the other hand, both members and nonmembers will pay the same price on the total game tokens purchased, this is true because of the same slope that members and nonmembers have in the equations.

Answer 2

"The graph of a nonmember's yearly cost will be stepper, but start lower than the graph of a member’s yearly cost. "Hope this helps!" "Have a great day!" "Thank you for posting your questions!"