. Many municipalities offer a variety of fare options for public transportation. This allows high use travelers a choice to pay a lower fare as a benefit of being a high user. The Transit Co. of Blue City, TX has three separate monthly bus fare options to choose from. The first is a standard "per ride" fare of S1.25 per ride. The second allows the rider to purchase a discount card. The cardholder pays $21 at the start of the month plus a fee of S0.50 per ride. Option 3 is a flat fee option where the rider pays $40 for thee month and may ride any bus at no additional cost during the month. Define the variable x to be the number of rides you take each month. Express each option as a function of x. Graph all three functions on the same set of axes. What is the break even number of rides between the options? If you only take 10 rides a month what option should you choose? If you take 40 rides a month what option should you choose? Watch the video posted in the Capstone #1 area involving Piecewise Functions and write the three separate option functions you have made into one combined piecewise function.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2. Many municipalities offer a variety of fare options for public transportation. This allows
high use travelers a choice to pay a lower fare as a benefit of being a high user. The Transit
Co. of Blue City, TX has three separate monthly bus fare options to choose from. The first is
a standard “per ride" fare of $1.25 per ride. The second allows the rider to purchase a
discount card. The cardholder pays $21 at the start of the month plus a fee of S0.50 per ride.
Option 3 is a flat fee option where the rider pays $40 for thee month and may ride any bus at
no additional cost during the month. Define the variable x to be the number of rides you take
each month. Express each option as a function of x. Graph all three functions on the same
set of axes. What is the break even number of rides between the options? If you only take
10 rides a month what option should you choose? If you take 40 rides a month what option
should you choose? Watch the video posted in the Capstone #1 area involving Piecewise
Functions and write the three separate option functions you have made into one combined
piecewise function.
Transcribed Image Text:2. Many municipalities offer a variety of fare options for public transportation. This allows high use travelers a choice to pay a lower fare as a benefit of being a high user. The Transit Co. of Blue City, TX has three separate monthly bus fare options to choose from. The first is a standard “per ride" fare of $1.25 per ride. The second allows the rider to purchase a discount card. The cardholder pays $21 at the start of the month plus a fee of S0.50 per ride. Option 3 is a flat fee option where the rider pays $40 for thee month and may ride any bus at no additional cost during the month. Define the variable x to be the number of rides you take each month. Express each option as a function of x. Graph all three functions on the same set of axes. What is the break even number of rides between the options? If you only take 10 rides a month what option should you choose? If you take 40 rides a month what option should you choose? Watch the video posted in the Capstone #1 area involving Piecewise Functions and write the three separate option functions you have made into one combined piecewise function.
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