In each item, you are to obtain a function as a mathematical model of a particular situation. Perform as directed. 1. A wholesaler sells a product by pound (or fraction of pound), if not more than 10 pounds are ordered, the wholesaler charges P 100 per pound. However to invite large orders the wholesaler charges P 95 per pound if more than 10 pounds are ordered. Find a mathematical model expressing the total cost of the order as a function of the amount of the product ordered.

In each item, you are to obtain a function as a mathematical model of a particular situation. Perform as directed. 1. A wholesaler sells a product by pound (or fraction of pound), if not more than 10 pounds are ordered, the wholesaler charges P 100 per pound. However to invite large orders the wholesaler charges P 95 per pound if more than 10 pounds are ordered. Find a mathematical model expressing the total cost of the order as a function of the amount of the product ordered.

Name: In each item, you are to obtain a function as a mathematical model of
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Description: In each item, you are to obtain a function as a mathematical model of a particular situation.Perform as directed.1. A wholesaler sells a product by pound (or fraction of pound), if not more than 10 pounds areordered, the wholesaler charges P 100 per

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter3: Straight Lines And Linear Functions

Section3.3: Modeling Data With Linear Functions

Problem 16E: High School Graduates The following table shows the number, in millions, graduating from high school...

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Suppose you have a job that pays $8.50 per hour and you work anywhere from 10 to 40 hours per week. a. Write an equation, with a restriction on the variable x, that gives the amount of money, y, you will earn for working x hours in one week. b. Use the function rule you have written in part (a) to complete Table 4. c. Construct a line graph from the information in Table 4. d. State the domain and range of this function.
Later High School Graduates This is a continuation of Exercise 16. 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 2001 2.85 2003 2.98 2005 3.11 2007 3.24 a. Find the slope of the linear function modeling high school graduations, and explain in practical terms the meaning of the slope. b. Find a formula for a linear function that models these data. c. Express, using functional notation, the number graduating from high school in 2008, and then calculate the value. d. The actual number graduating from high school in 1994 was about 2.52 million. Compare this with the value given by the formula in part b and with your answer to part of Exercise 16. Which is closer to the actual value? In general terms, what was the trend in high school graduations from 1985 to 2007? 16. High School Graduates The following table shows the number, in millions, graduating from high school in the United States in the given year.16 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.
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.
Acar rental agency 50 per day plus 0.32 a mile. Therefore, the daily charge for renting a car is function of the number of miles traveled (m) and can be expressed as C(m)=50+0.32m. Compute C(75), C(150), C(225), and C(650).