(a) Find an equation for the family of linear functions with slope 4. (Use the standard coordinate variables x and y. You may use m for the slope and b for the y-intercept as needed.)Sketch several members of the family.y-10-10-5-510-5-10y1055510X10Xy10X--10-5510-5-10X-10-5y10-10510XO (b) Find an equation for the family of linear functions such that f(4) = 1. (Use the standard coordinate variables x and y. You may use m for the slope and b for the y-intercept as needed.)Sketch several members of the family.y-10-10-510-10y105510**10X1010y-1010-10

We have to find an equation for the family of linear function and sketch the curve.

Answered: Find an equation for the family of…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter8: Linear Functions

Section8.7: Function Notation

Problem 2E

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Similar questions

Suppose that average annual income (in dollars) forthe years 1990 through 1999 is given by the linearfunction: I(x)=1,054x+23,286 , where x is thenumber of years after 1990. Which of the followinginterprets the slope in the context of the problem? a. As of 1990, average annual income was $23,286. b. In the ten-year period from 1990-1999, averageannual income increased by a total of $1,054. c. Each year in the decade of the 1990s, averageannual income increased by $1,054. d. Average annual income rose to a level of $23,286 bythe end of 1999.
The number y (in thousands) of male participants in high school lacrosse in the United States from 2008 through 2015 can be approximated by the linear model y=3.66t+91.4,2t5 where t represents the year, with t=0 corresponding to 2010. (a) Find algebraically and interpret the y-intercept of the graph of the linear model. (b) Use the linear model to predict the year in which there will be 128,000 male participants.
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?
A phone company has a monthly cellular data plan where a customer pays a flat monthly fee of $10 andthen a certain amount of money per megabyte (MB)of data used on the phone. If a customer uses 20 MB,the monthly cost will be $11.20. Ifthe customer uses130 MB, the monthly cost will be $1180. a. Find a linear equation for the monthly cost of thedata plan as a function of x, the number of MB used. b. Interpret the slope and y-intercept of the equation. c. Use your equation to find the total monthly cost if 250 MB are used.
Suppose the world’s oil reserves in 2014 are 1,820 billion barrels. If, on average, the total reserves are decreasing by 25 billion barrels of oil each year: a. Give a linear equation for the remaining oil reserves,R, in terms of t, the number of years since now. b. Seven years from now, what will the oil reserves be? c. If the rate at which the reserves are decreasing is constant, when will the world’s oil reserves be depleted?

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