Given the equation y=58x+24, find the equation of the inverse of this linear function in y=x-a/b form.

Question

A car is traveling at a constant speed of 58 miles per hour has a distance of y-miles from Poughkeepsie, NY, given by the equation y=58x+24, where x represents the time in hours that the car has been traveling.  Find the equation of the inverse of this linear function in y=x-a/b form.

 

Answer 1

Switch places with x and y.

 

x = 58y + 24

 

 

Now solve for y from this new equation.

 

x - 24 = 58y

 

 

Divide both sides of the equation by 58.

 

(x - 24) / 58 = y

 

 

y = (x - 24) / 58