Question

A car is traveling at a constant velocity. After two hours the car has traveled 110 miles. After four hours the car has traveled 220 miles. Assuming a linear equation fits this situation, find the distance that the car will travel after five hours.

Answer 1

Derive the system of linear equations from the given above,
                           y = mx + b
From the given,
                         110 = m(2) + b
                          220 = m(4) + b
From the system, the value of m is equal to 55 and b is equal to 0. Therefore, after 5 hours, the car travels (55 m/s) x 5 s = 275 meters.