Word Problem Intermediate algebra

Question

The current (I) in a wire varies directly as the voltage (v) and inversely as the resistance (r). If the current is 27.5 amps when the voltage is 110 volts and the resistance is 4 ohms, find the current when the voltage is 195 volts and the resistance is 8 ohms. (Round your answer to two decimal places.)

Answer 1

I = kV/R from first sentence.

 

Substituting: 27.5 = k(110)/4; we find that k = 27.5•4/110 = 1.

 

Now you can substitute the value given in second half of 2nd sentence to find the desired current.