Question

If the distance traveled is (4s3 - 6s² + 4s + 14) miles and the rate is (s + 1) mph, write an expression, in hours, for the time traveled.​

Answer 1

The equation for time is URM:

`time = (distance)/(speed \: (rate))`

`t(s) = \frac{4s {}^(3) - 6s {}^(2) + 4s + 14}{s + 1} = \frac{2(s + 1)(2s {}^(2) - 5s + 7) }{s + 1} \\ t(s) = 2(2s {}^(2) - 5s + 7) \\ t(s) = 4s {}^(2) - 10s + 14`