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Two competing passenger trains create a new marketing plan, charging passengers a fixed amount and then a rate per mile.Fast Track: $79.75 plus $0.30 a mileCheap Track: $179.50 plus $0.25 a mileA one-way train ride from Miami to San Francisco is 2,585 miles. If C is the cost of the ride and M is the number of miles one way, which train is the cheapest, what is the equation for the cheapest option, and how much money do you save?

Two competing passenger trains create a new marketing plan charging passengers a fixed amount and then a rate per mileFast Track 7975 plus 030 a mileCheap Track class=

Respuesta :

Start by writing the equations

Fast track=FT

Cheap track=CT

[tex]\begin{gathered} FT\colon C=79.75+0.3M \\ CT\colon C=179.5+0.25M \end{gathered}[/tex]

then replace the number of miles for the trip (2,585 miles) in both equations

[tex]\begin{gathered} FT\colon \\ 79.75+0.3\cdot2585 \\ 855.25 \\ CT\colon \\ 179.5+0.25\cdot2585 \\ 825.75 \end{gathered}[/tex]

The cheap track is the cheapest by:

[tex]855.25-825.75=29.5[/tex]

the correct answer option is the third one.

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