Question 426029
inverse relationship is given by y = k/x


replace y with I and replace x with R to get:


I = k/R


first you want to find out what k is.


use the givens to do that.


when I = 2 amperes, the resistance is 501 ohms.


formula becomes:


2 = k/501


from this, we get k = 2*501 = 1002


now that we have k, we can solve for the I or R, whichever comes first.


When resistance is 844 ohms, the formula becomes:


I = 1002 / 844


this gets us I = 1.187203791 amperes.


if we did not use k, we could have solved using ratios.


in a direct relationship I1/I2 = R1/R2


in an inverse relationship I1/I2 = R2/R1


we were given I1, R1, and R2.


we plug into the equation to get:


2/I2 = 844/501


we cross multiply to get:


844*I2 = 501*2


we divide both sides by 844 to get:


I2 = 2*501/844 = 1.187203791


either way gets you the same answer as long as you do each one the way that is supposed to be done.