A60 room hotel is filled to capacity every night at a rate of $40 per room. the management wants to determine if a rate increase would increase their profit. they are not interested in a rate decrease. suppose management determines that for each $2 increase in the nightly rate, five fewer rooms will be rented. if each rented room costs $8 a day to service, how much should the management charge per room to maximize profit?

Look at this system of equations. -3x + 3y = 12 y = x + 4 the solution set of this system is best explained by which of these statements? a) the graphs of the equations are the same line because the equations have the same slope and the same y-intercept. the system has infinitely many solutions. b) the graphs of the equations are parallel lines because they have the same slope but different y-intercepts. the system has no solution. c) the graphs of the equations are lines that intersect at one point because the equations have the same slope but different y-intercepts. the system has exactly one solution. d) the graphs of the equations are lines that intersect at one point because the equations have the same slope and the same y-intercept. the system has exactly one solution.