Question

The formula d=rt relates the distance(d), the rate(r), and the time(t). Solve this equation for t, and use the rewritten equation to find an expression for the time it takes to travel a distance of (b^3-5b^2+7b+13) miles at a rate of (b+1) mph. It takes ?? hours to travel the distance?

Answer 1

d=rt
divide both sides by r
t = d/r
t = (b^3-5b^2+7b+13) / (b+1)
now do the long division

Answer 2

can you do long division of polynomials?

Answer 3

I am trying but basically just winging it

Answer 4

b^2 -6b + 13
-------------------------
b+1) b^3-5b^2+7b+13
b^3+b^2
--------
-6b^2+7b
-6b^2 -6b
---------
13b + 13
13b + 13
---------
the result is b^2 -6b + 13 - this is the time taken in terms of b

Answer 5

wow, you are good. thnx!