A delivery truck with a 400-pound weight limit is transporting televisions & microwaves. Define variables & write an inequality for this situation. Will the truck be able to deliver 35 televisions & 25 microwaves at once? Write two possible solutions to the inequality. Are there solutions that make the inequality mathematically true, but are not reasonable in the context of the problem? Explain.

Question

Mathematics

Paola Hinton

11 November, 22:45

A delivery truck with a 400-pound weight limit is transporting televisions & microwaves. Define variables & write an inequality for this situation. Will the truck be able to deliver 35 televisions & 25 microwaves at once? Write two possible solutions to the inequality. Are there solutions that make the inequality mathematically true, but are not reasonable in the context of the problem? Explain.

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Edwin Soto · Answer 1

So the inequality would be 77x+55y≤4000. x is the number of TV's and y is the number of microwaves. For the second part plug in 35 for x and 25 for y. So you get 77*35+55*25≤4000.

2625+1375≤4000

4000=4000 so the answer to that part is yes.

One unreasonable solution is (0,0) (TV's, microwaves) because that would mean the truck is empty. Another one is (1,71) because that would be only one TV and 71 microwaves.