The slope of the equation y=15x+95 is 15, representing a $15 increase in cost per person attending the school banquet. The y-intercept is 95, denoting an initial cost of $95 when no one is attending.
The slope and y-intercept of a linear equation provide valuable information about the scenario it represents.
In the equation y=15x+95, which describes the cost of a school banquet for a certain number of people, the slope indicates the rate of change of the cost with respect to the number of people attending, while the y-intercept signifies the initial cost when no one is attending.
Here, the slope is 15, which means that the cost increases by $15 for every additional person that attends the banquet.
The y-intercept is 95, indicating that the cost of the banquet when no people are attending (x=0) is $95.
This might represent a fixed cost such as a venue rental fee or initial supplies that are necessary regardless of the number of attendees.