Question 1059462: Your family is moving soon. You have been put in charge of renting a truck. After some research you found two companies that seem to have the lowest priced Mat Mobile charges a 50 flat fee plus 0.50 per mile. Ricks van charges a $40 flat fee plus 0.55 per mile. Which is the most inexpensive if you move 50 miles? Which is the least expensive if you were moving 500 miles?
Answer by acw1213(28)   (Show Source):
You can put this solution on YOUR website! Write two expressions here, one expression for each company.
Let "x" represent the number of miles the truck is driven.
Mat Mobile charges a 50 dollar FEE so 50 will be the constant in this expression.
They charge 50 cents PER MILE so this means 0.50 will be multiplied by our variable, x.
0.50x + 50
Rick's Van charges a forty dollar FEE so 40 will be the constant in this expression. They charge 55 cents PER MILE so this means 0.55 will be multiplied by "x".
0.55x + 40
Now for part 1, the problem wants to know which company is most inexpensive (cheapest) if you move 50 miles. We know "x" represents the number of miles the truck is driven for, so plug in 50 for "x" and simplify in both equations. Their solutions are the total cost for each company. Compare their answers.
Mat Mobile: 0.50(50) + 50 = $75
Rick's Van: 0.40(50) + 50 = $67.50
Rick's Van charges less for 50 miles.
Do the same with part 2, but instead, plug in 500 for "x".
Please try to do this on your own now. If you still need help, feel free to post again.
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