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The y-intercept is the cost y when the number of minutes of using the vacuum x is equal to 0.
The y-intercept represents the cost of getting a car wash.
The y-intercept is the cost of getting a car wash and using the vacuum for x=0 minutes. Since using a vacuum for 0 minutes is the same as not using the vacuum, the y-intercept represents the cost of only getting a car wash.