Question 177176
Let's write the cost equations (C) for both car rentals:
{{{C[1] = 51.98+0.15m}}} where m = number of miles driven.
{{{C[2] = 39.98+0.20m}}}
Since you need to know when the costs will be equal, set these two equations equal to each other.
{{{51.98+0.15m = 39.98+0.20m}}} Now you can solve for m, the number of miles. Subtract 0.15m from both sides.
{{{51.98 = 39.98+0.05m}}} Now subtract 39.98 from both sides.
{{{12 = 0.05m}}} Finally, divide both sides by 0.05
{{{240 = m}}}
So, Al must drive 240 miles for the costs of both plan to be the same.