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. 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.

. 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.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 26EQ
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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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