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Question 842282: I was asked to pick a real world scenario such as this: A family is looking for the best option for moving the family's belongings into a new home. Moving Company A charges its customers a flat rate per mile. Moving Company B charges its customers a fixed amount for a certain number of miles and then a fixed rate per mile for any miles over the set amount. Determine which company would best serve the needs of the family.
I picked this equation for Moving Company A:
$2.50 * X (x=miles)
My school returned my work saying I need to identify the dependent variable as well...Wouldn't that be the "Y"? So basically if I choose that the family is moving from Fort Wayne, IN to Indianapolis, IN which is 122 miles my equation would be $2.50*122=$305 so would $305 by my "y"?
I picked this equation for Moving Company B:
$3.00 * 100 ($3.00 for the first 100 miles) + $2.00(X-100) x=miles so again, 122 miles from Fort Wayne, IN to Indianapolis, IN.
My school sent this back saying that this equation does not follow the criteria. They state that the second option, Moving Company B, should charge a flat amount for a specified number of miles rather than a rate per mile for the first 100 miles and a lower rate per mile for any additional miles. The option must be revised to meet the task requirements. I don't know where to go from here to fix these 2 equations.
My school also states that for Moving Company B typically two equations are needed and the values of X that are valid for each equation should be identified.
It also asked that an explanantion clearly describing the reasoning behind the construction of all equations is needed. Only identifying the fees and defining the variable X is not sufficient. I don't understand what they mean or want. I tried explaining my process of how I went about solving the equation by steps with words and the numbers but I guess that wasn't right.
It also asked that the point of equivalency must be found by algebraically solving the system of equations. Because there should be two equations for Moving Company B, there may be two solution points.
Then it asks me to construct a graph. I did that, but they stated that my graph was wrong: "The graph does not accurately represent the scenario, due to not having my equations right at the beginning. The descriptive label for the y-axis is not accurate and the vaklues graphed on the x-axis should not be the specific miles. The new solution point must be graphed and labeled.
Basically, I don't know where to start and what to change to get going on turning this back in. CONFUSED. PLEASE HELP. I appreciate all that you are doing and taking the time to read and help me.
Answer by richwmiller(17219)   (Show Source):
You can put this solution on YOUR website! $2.50 * x is not an equation .
Do you see anything being equated?
same problem here
$3.00 * 100 is not an equation.
What do they represent?
Do not use numbers for x and y
Use x and y so that the equations apply to more than just a move to Fort Wayne from Indianapolis
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