SOLUTION: An electric current (c) varies inversely as the resistance (r) of the circuit. c1= 6 amps, c2=? r1=115 ohms, r2=70 ohms. The missing proportion is?

Question 180448: An electric current (c) varies inversely as the resistance (r) of the circuit. c1= 6 amps, c2=? r1=115 ohms, r2=70 ohms. The missing proportion is?
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
in an inverse relationship, when one variable increases the other decreases and vice versa.
:
cr=k......where k is a constant of the relationship
:
6(115)=690
:
now we can write a formula using the value of k we just found
:
cr=690
:
we can manuiplute that formula to find the unknown variable. In this instance it is c2
:
c=690/r
:
c=690/70
:
9.86 amps
:
Notice how r decreased from 115 to 70. therefore we would expect the current c to increase, and sure enough it went from 6 to 9.86
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