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Real World Scenario

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Submitted By Kirby1110
Words 366
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5A. The Harding family has decided to move from their current home in Roscoe, IL to Fontana, CA to be closer to family. They want to rent a moving truck to their belongings to their new home. They have a moving budget of $1200.00 and not want to go over. Also with a 3 month old they would like help getting their belongings to California. After mapping out the route they estimated the travel to be 1,984 miles. Moving company A charges a flat rate of $0.60 per mile. They will also pack the moving truck and deliver items to the destination. Moving company B charges $175.00 for the first 200 miles and $0.52 for every mile exceeding the 200 miles. Company B is strictly a rental with no extra help or delivery. Which moving company will best serve the needs of the Harding family?

5B.

Moving company A - $0.60 per mile

y = 0.60x

y = cost of moving trip x = total miles of moving trip

Moving company B - $175.00 for first 200 miles $0.52 per mile after first 200 miles

c = x - 200 y = 175 + 0.52c

y = cost of moving trip x = total miles of moving trip c = total miles of moving trip - 200 miles included in fixed rate

From Roscoe, IL to Fontana, CA - 1,984 miles

Moving company A -

y = 0.60(1,984) y = 1,190.40

(1,984, 1,190.40)

Moving company B -

c = 1,984 - 200 c = 1,784

y = 175 + 0.52(1,784) y = 175 + 927.68 y = 1,102.68

(1,984, 1,102.68)

0.60x + 0 = 175 = 0.52c
0.60x + 0 = 175 + 0.52(x-200) = 0.52x - 104 - distributive property = 175 - 104 + 0.52x
0.60x + 0 = 71 + 0.52x
0.60x - 0.52x = 71 - 0
0.08x = 71
0.08x / 0.08 = 71 / 0.08 x = 887.50

y = 0.60(887.50) y = 532.50

(887.50, 532.50)

y = 175 + 0.52(887.50 - 200) y = 175 + 461.50 - 104 - distributive property y = 175 + 357.50 y = 532.50

(887.50, 532.50)

5C. Graph on separate sheet

5D.

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