Bill and Mary are moving to a college and need to rent movingvans. Bill is atten

Question

Bill and Mary are moving to a college and need to rent movingvans. Bill is attending a college 100 miles from home andMary is attending a college 400 miles from home. Both billand Mary researched moving van companies and discovered that U-haulcharges an initial fee of $30 and 20 cents per mile while Rydercharges an initial fee of $10 and 30 cents per mile.

A) Create and Graph a system of equations. Label the X-axis'Number of Miles' and the Y-axis 'Total Cost.'

B) Determine the point of intersection and explain what itrepresents.

C) Argue which moving van company would be most economical for Billand which is most economical for Mary.

Explanation / Answer

The Ryder van's fee can be expressed as the equationcost=.2m+30, where m is the number of miles. The U-Haul van fee can be expressed by cost=.3m+10. . <graph these lines for part a) i can't do it in thispost.> . Part b) The point of intersection is 200 miles, $70. Thismeans the cost of going 200 miles is the same for bothcompanies. Part c) For Bill, Ryder is the best option because it costsless than U-Haul for trips shorter than 200 miles.          ForMary, U-Haul is the best option because it costs less than Ryderfor trips longer than 200 miles.

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