Question

the yearly cost in dollars, y, for a member at a video game arcade based on total game tokens purchased, x, is $y = \frac{1}{10}x + 60$. 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? $\bigcirc\\ y = \frac{1}{2}x$ $\bigcirc\\ y = \frac{1}{10}x + 60$ $\bigcirc\\ y = \frac{1}{5}x$ $\bigcirc\\ y = \frac{1}{20}x + 60$

Explanation:

Step1: Convert cost to fraction

$\$0.20 = \frac{20}{100} = \frac{1}{5}$

Step2: Set up cost equation

No yearly fee, so $y = \frac{1}{5}x$

Answer:

$\boldsymbol{y = \frac{1}{5}x}$ (Option 3)