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Test
Math
Domain
Algebra
Skill
Linear inequalities in one or two variables
Difficulty
Hard
ID: e8f9e117
Modded SAT Question Bank by Abdullah Mallik

I equals, V over R

The formula above is Ohm’s law for an electric circuit with current I, in amperes, potential difference V, in volts, and resistance R, in ohms. A circuit has a resistance of 500 ohms, and its potential difference will be generated by n six-volt batteries that produce a total potential difference of 6 n volts. If the circuit is to have a current of no more than 0.25 ampere, what is the greatest number, n, of six-volt batteries that can be used?

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Correct Answer:
Rationale

The correct answer is 20. For the given circuit, the resistance R is 500 ohms, and the total potential difference V generated by n batteries is 6 n volts. It’s also given that the circuit is to have a current of no more than 0.25 ampere, which can be expressed as I is less than 0 point 2 5. Since Ohm’s law says that I equals, V over R, the given values for V and R can be substituted for I in this inequality, which yields 6 n over 500 is less than 0 point 2 5. Multiplying both sides of this inequality by 500 yields 6 n is less than 125, and dividing both sides of this inequality by 6 yields n is less than 20 point 8 3 3. Since the number of batteries must be a whole number less than 20.833, the greatest number of batteries that can be used in this circuit is 20.

Question Difficulty: Hard
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