An automobile manufacturer is preparing a shipment of cars and trucks on a cargo ship that can carry 21,600 Tons. The cars weigh
1 answer:
Answer:
Number of trucks (y) that can be shipped if the number of cars (x) is known
Step-by-step explanation:
A cargo ship can carry 21,600 Tons.
Let x denotes number of cars and y denotes number of trucks.
The cars weigh 3.6 tons each and the trucks weigh 7.5 tons each.
Therefore,
Now write y in terms of x.
Number of trucks (y) that can be shipped if the number of cars (x) is known
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Answer:
We have the system of equations:
y=1/3x+5
y=2/3x+5
To solve it graphically, we need to graph both lines and see in which point the lines intersect.
You can see the graph below, and you can see that the lines intersect in the point (0, 5)
Now, we can also solve this analytically.
We can use the fact that for the solution, we need y = y.
Then we can write:
(1/3)*x + 5 = (2/3)*x + 5
First, we can subtract 5 in both equations to get:
(1/3)*x = (2/3)*x
This only has a solution when x = 0.
Replacing x = 0 in one of the equations, we get:
y = (1/3)*0 + 5 = 5
Then the solution is x = 0, and y = 5, as we already could see in the graph.
