An automobile manufacturer is preparing a shipment of cars and trucks on a cargo ship that can carry 21,600 tons. The cars weigh 3.6 tons each and the trucks weigh 7.5 tons each.

1.Write an equation that represents the weight constraint of a shipment. Let c be the number of cars and t be the number of trucks.

2.For one shipment, trucks are loaded first and cars are loaded afterwards. (Even though trucks are bulkier than cars, a shipment can consist of all trucks as long as it is within the weight limit.)
Find the number of cars that can be shipped if the cargo already has:
480 trucks
1,500 trucks
2,736 trucks
t trucks
3.For a different shipment, cars are loaded first, and then trucks are loaded afterwards.
Write an equation you could enter into a calculator or a spreadsheet tool to find the number of trucks that can be shipped if the number of cars is known.
Use your equation and a calculator or a computer to find the number of trucks that can be shipped if the cargo already has 1,000 cars. What if the cargo already has 4,250 cars?

An automobile manufacturer is preparing a shipment of cars and trucks on a cargo ship that can carry 21,600 tons.

The cars weigh 3.6 tons each and the trucks weigh 7.5 tons each.

1.Write an equation that represents the weight constraint of a shipment. Let c be the number of cars and t be the number of trucks.

2.For one shipment, trucks are loaded first and cars are loaded afterwards. (Even though trucks are bulkier than cars, a shipment can consist of all trucks as long as it is within the weight limit.)

Find the number of cars that can be shipped if the cargo already has:

480 trucks

1,500 trucks

2,736 trucks

t trucks

3.For a different shipment, cars are loaded first, and then trucks are loaded afterwards.

Write an equation you could enter into a calculator or a spreadsheet tool to find the number of trucks that can be shipped if the number of cars is known.

Use your equation and a calculator or a computer to find the number of trucks that can be shipped if the cargo already has 1,000 cars. What if the cargo already has 4,250 cars?

probability for j is 1/4

while

a is 1/6