7 The cost C(x), where x is the number of miles driven, of renting a car for a day is $25 plus $1.00 per mile.What is the slope of the linear function and its units?Select an answerselect the correct unitsWhat is the y-intercept and its units?Select an answer|- select the correctunitsWhat is the linear function, C(x)?

The cost, C(x) where x is the number of miles driven, of renting a car for a is $25 plus $1.00 per…

Answered: The cost C(x), where r is the number of…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.5: Linear Functions And Models

Problem 49E

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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.
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.
A Fast Car When I push the gas pedal to the floor, my speed, in miles per hour, is given by S=12t, where t is the time, in seconds, since I pushed the pedal to the floor. Explain is practical terms the meaning of the slope of this function.
When Date Are Unevenly speed. If data are evenly spaced, we need only calculate differences to see whether the data are linear. But if data are not evenly spaced, then we must calculate the average rate of change over each interval to see whether the data are linear. If the average rate of change is constant, it is the slope of the linear function. This fact is used in Exercises 23 and 24. In the following table, show that the average rate of change from 2 to 5 is not the same as the average rate of change from 5 to 6. This shows that the data are not linear, even though the differences in y are constant. x 1 2 5 6 y 3 6 9 12

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