Question

A circuit overloads at 2400 watts of electricity. A portable heater that uses 1050 watts of electricity is plugged into the circuit.

a. Identify an inequality that represents the additional number x of watts you can plug in without overloading the circuit.




In addition to the portable heater, what two other items in the table can you plug in at the same time without overloading the circuit? Is there more than one possibility? Explain.

Answer 1

You can add 1350 additional watts without overloading the circuit.

Step-by-step explanation:

a.

Given that the circuit overloads at 2400 watts

Electricity used by heater = 1050 watts

Let x = the number of additional watts.

Electricity used by heater + Additional watts ≤ Circuit's capacity

1050 + x ≤ 2400

1050 - 1050 + x ≤ 2400 - 1050

x ≤ 1350

Answer:

There aren't any appliances listed in the question, but assuming this is the same question as other questions from online, a clock radio, a toaster, and a blender would work, which have 50 watts, 300 watts, and 80 watts respectively. If there are other appliances in your problem, here is what you should do.

Step-by-step explanation:

b.

Since x ≤ 1350, that means every appliance you choose has to have below 1350 or 1350 watts of power. Whichever appliances follow these requirements should be the correct answer to the second part of the question.