Application problem with a linear function: Finding a coordinate...Trey is driving to Philadelphia. Suppose that the distance to his destination (in miles) is a linear function of his total driving time (in minutes). Trey has 57 milesto his destination after 46 minutes of driving, and he has 40.2 miles to his destination after 70 minutes of driving. How many miles will he have to hisdestination after 76 minutes of driving? .escExplanation7Check2Remainingdistance(in miles).F220#3F3Driving time(in minutes)$4DOD000 F4%5FST^6SF6miles◄◄&7F7*Ⓒ2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility► 118XFB1➤➤9F91O0F10PFILEspañol+of AAa

let y be the distance from destination to David, and x be the driving time. Then, David has 57 miles…

Answered: Trey is driving to Philadelphia.…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter3: Graphing Linear Functions

Section: Chapter Questions

Problem 1CA

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Manufacturing Cost The manager of a furniture factory finds that it costs 2200 to produce 100 chairs in one day and 4800 to produce 300 chairs in one day. a Assuming that the relationship between cost and the number of chairs produced is linear, find a linear function C that models the cost of producing x chairs in one day. b Draw a graph of C. What is the slope of this line? c At what rate does the factorys cost increase for every additional chair produced?
Manufacturing Cost The manager of a furniture factory finds that it costs $2200 to produce 100 chairs in one day and $4800 to produce 300 chair in or day. (a) Assuming that the relationship between cost and the number of chair’ produced is linear, find a linear function C that models the cost of producing x chair’s in one day. (b) Draw a graph of C. What is the slope of this line? (c) At what rate does the factory’s cost increase for every additional chair produced?
High School Graduates The following table shows the number, in millions, graduating from high school in the United States in the given year. Year Number graduating in millions 1985 2.83 1987 2.65 1989 2.47 1991 2.29 a. By calculating difference, show that these data can be modeled using a linear function. b. What is the slope for the linear function modeling high school graduations? Explain in practical terms the meaning of the slope. c. Find a formula for a linear function that models these data. d. Express, using functional notation, the number graduating from high school in 1994, and then use your formula from part c to calculate that value.
Price of Amazons Kindle The following table shows the price of Amazons Kindle 2 e-book reader. It is adapted from data available on the web. Here time is measured in months since February 2009, when the Kindle was launched. Time Price 0 349 5 299 10 249 15 199 a. By calculating differences, show that these data can be modeled using a linear function. b. Find a linear formula that models these data. Be careful about the sign of the slope. c. What price does your formula from part b project for January 2012 35 months after the Kindle was launched? Note: The web data were the basis for speculation that some day the Kindle would be free.

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