Question 176964
You can start by writing the equation of variation in which R = resistance in ohms and L = wire length in feet, and k = the constant of variation:
{{{R = k*L}}} Solve for k.
{{{k = R/L}}} Substitute the given R = 950 ohms and L = 275 feet and solve for k.
{{{k = 950/275}}} Simplify.
{{{k = 38/11}}}, so...
{{{R = (38/11)*L}}} Substitute L = 1575 feet and solve for R.
{{{R = (38/11)(1575)}}}
{{{highlight(R = 5440.91)}}}ohms.