SOLUTION: A local computer store charges a one-time fee of $50 plus $15 per session to use the media center. If x = number of sessions, and y = total cost, write an equation that best repres

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A local computer store charges a one-time fee of $50 plus $15 per session to use the media center. If x = number of sessions, and y = total cost, write an equation that best repres      Log On


   



Question 1203011: A local computer store charges a one-time fee of $50 plus $15 per session to use the media center. If x = number of sessions, and y = total cost, write an equation that best represents the situation

Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

Answer: y = 15x+50

Explanation:

The equation is of the form y = mx+b
m = slope = 15
b = y intercept = 50

The slope is the rate of change. It represents how much the cost y goes up each time x increments by 1.
m = 15 tells us that each time we add another session, the cost increases by $15

The y intercept is the starting cost. If you take x = 0 sessions, then you would still pay the up-front cost of $50

Extra info:
  • The graph is a straight line through the two points (0,50) and (1,65)
  • You can use Desmos or GeoGebra to graph. Many other options are available as well.
  • The x intercept is located at approximately (-3.3333, 0)
  • The y intercept is located at exactly (0,50)