High School

The yearly cost in dollars, [tex]y[/tex], for a member at a video game arcade based on total game tokens purchased, [tex]x[/tex], is [tex]y = x + 60[/tex].

A nonmember pays $0.20 per game token, but no yearly fee.

Which equation represents the yearly cost for a nonmember at the same video game arcade based on the total number of game tokens purchased in a year?

Answer :

The yearly cost for a nonmember at the same video game arcade can be represented by the equation y = 0.20x.

Since a nonmember pays $0.20 per game token, and there is no yearly fee, the yearly cost for a nonmember at the same video game arcade can be represented by the equation:

y = 0.20x

where:

y is the yearly cost in dollars

x is the total number of game tokens purchased in a year

This equation represents a linear relationship between the yearly cost and the number of game tokens purchased.

The slope of the line is 0.20, which means that for every additional game token purchased, the yearly cost increases by $0.20.

The y-intercept is 0, which means that if a nonmember does not purchase any game tokens, the yearly cost is $0.

Alright, so:

Nonmembers:
y = x

Members:
y = x + 60

So a non-member pays $0.20 for a game.

f(x) = $0.20x

Let X be a number of games the non-member plays.