<PRE><B>Question 212106</B>
Richard drove his rig at ‘x’ mph for 3 hours, then increased his speed to (x + 15) mph and drove 2 more hours. Write a polynomial that represents the total distance that he traveled. How much distance he covered if x = 45 Mph?


Step 1.  Distance=Velocity * Time


Total Distance in miles = {{{3x+2(x+15) = 3x+2x+30 = 5x + 30 }}} 


where


{{{3x}}} is the distance in miles traveling for 3 hours at x mph

{{{2(x+15)=2x+30}}} is the distance in miles traveling for 2 hours at x+15 mph


Step 2.  Substitute x=45 Mph into Total Distance equation of Step 1


{{{ 5x+30 = 5 (45)+30 = 255 }}}


Step 3.  Total Distance traveled is 255 miles.


For Step-By-Step Videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra.




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