Question

1.Write a linear equation of the form y1 = mx + b for your first set of data.2.Write a linear equation of the form y2 = mx + b for the other equation in your system.3.Explain the Point of Intersection. (X,Y)

Answer 1

First, find the actual number of miles per round trip in each case.

-Hyperloop

`distanceH=speed*time=760*0.583=443.08miles`

-Airplane

`distanceA=535*1.25=668.75miles`

Then, the cost (round trip) would be related to the constant b in both cases since it is a fixed rate. Multiply it by the maximum number of passengers,

`\begin{gathered} b_H=40*28=1120 \\ b_A=88*360=31680 \end{gathered}`

Then, multiply the rate of consumption by the fuel costs for each mean of transportation,

`\begin{gathered} (1)/(m_H)=2*16.8*1=33.6 \\ (1)/(m_A)=2*2736*2.98=16306.56 \end{gathered}`

Notice that it is multiplied by 2 since the rate of consumption row is given in one-way unitsThus,