SOLUTION: 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 travele

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Question 306950: 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?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
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.
:
d = total dist; (dist = time * speed)
:
d = 3x + 2(x+15)
d = 3x + 2x + 30
d = 5x + 30
:
How much distance he covered if x = 45 Mph?
Replace x with 45 in the above equation:
d = 5(45) + 30
d = 225 + 30
d = 255 miles