The area of a bus park is 1500 square meters. The park is strictly for buses and personal cars. An area of 45 square meters is allowed for a bus and 25 square meters for a personal car. The number of buses as estimated is always not less than one third and not more than two thirds the number of personal cars. If x is the number of buses and y the number of personal cars, Write the inequality equation for this situation?
Which inequality represent this condition?
- Thread starter raddix
- Start date
- Joined
- Feb 4, 2004
- Messages
- 16,582
What are your thoughts? What have you tried? How far have you gotten? Where are you stuck?
For instance, you noted that you've been provided with variables and with the definitions for those variables, so you copied down this information:
. . . . .x: the number of buses
. . . . .y: the number of cars
You noted the fractional constraints on the number of buses and compared to the number of cars:
. . . . .(1/3)(number of cars) < (number of buses) < (2/3)(number of cars)
You translated this relationship into an inequality in terms of the variables you'd been given. You also noted the numerical constraints in terms of area:
. . . . .(total area for cars) = (area per each car)*(number of cars)
. . . . .(total area for buses) = (area per each bus)*(number of buses)
You translated these constraints into expressions in terms of the variables you'd been given. You noted the total area (the maximum) allowed for the cars and buses. And... then what?
Please be complete. Thank you!
