Diana is a homebound teacher who charges $45 per hour plus an additional flat fee of $20 for travel. the equation that represents this situation is y = 45x + 20, where x represents the number of hours of classes and y represents the total cost. another teacher, paula, creates a graph comparing the total amount diana charges for a session and the total amount she charges for a session. paula finds her graph is shifted below diana's line, and her line is also steeper than diana's line. select the true statement. a: paula charges less per hour and has a lower travel fee. b: paula charges more per hour but has a lower travel fee. c: paula charges less per hour but has a higher travel fee. d: paula charges more per hour and has a higher travel fee.

An airplane consumes fuel at a constant rate while flying through clear skies, and it consumes fuel at a rate of 64 gallons per minute while flying through rain clouds. let c represent the number of minutes the plane can fly through clear skies and r represent the number of minutes the plane can fly through rain clouds without consuming all of its fuel. 56c+64r < 900056c+64r< 9000 according to the inequality, at what rate does the airplane consume fuel while flying through clear skies, and how much fuel does it have before takeoff? the airplane consumes fuel at a rate of gallons per minute while flying through clear skies, and it has gallons of fuel before takeoff. does the airplane have enough fuel to fly for 60 minutes through clear skies and 90 minutes through rain clouds?