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Company “A” can transport 56 people in one hour for $40 round trip per person in 30mins.Company “B” can transport 360 people in one hour for $88 round trip per person in 1 hour.Q: How many trips will company “A” have to make to transfer 360 people? After 7 days of commuting to work, which is the better deal?Graph both companies in the form y=mx+b. You will have two lines. Explain the point of intersection.

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Answer

For Company A

Total revenue for Company A

[tex]56\times40\times2=4480[/tex]

For Company B

[tex]360\times88=31,680[/tex]

Number of trips for company A to transfer 360 people

[tex]\begin{gathered} number\text{ }of\text{ }trips=\frac{360}{54}\cong7 \\ but\text{ }7\text{ }days\text{ }of\text{ }commuting\text{ }to\text{ }work=7\times54\times40=15120 \end{gathered}[/tex]

Hence, for Company A, 7 days is better.

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