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)      (Show Source): 
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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)
 
  
 
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