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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