Question

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.

Answer 1

For Company A

Total revenue for Company A

`56*40*2=4480`

For Company B

`360*88=31,680`

Number of trips for company A to transfer 360 people

`\begin{gathered} number\text{ }of\text{ }trips=(360)/(54)\cong7 \\ but\text{ }7\text{ }days\text{ }of\text{ }commuting\text{ }to\text{ }work=7*54*40=15120 \end{gathered}`

Hence, for Company A, 7 days is better.