Question 1184074
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The post implies that we are supposed to find the constant of variation k; but there is no need to do so.<br>
Changing the length from 4000ft to 4300ft increases the resistance by a factor of 4300/4000 = 43/40.<br>
Changing the diameter from 0.18 inches to 0.27 inches decreases the resistance by a factor of (.27/.18)^2 = (3/2)^2 = 9/4.<br>
ANSWER: 7867*(43/40)/(9/4) = 7867*(43/40)*(4/9) = 3758.677777... = 3758.68 to the nearest hundredth.<br>