1 / 29

Section 1.10 Modeling with Functions

Section 1.10 Modeling with Functions. Construct Functions from Verbal Descriptions. Example. Write the function that will solve this problem.

ifeoma-santiago
Télécharger la présentation

Section 1.10 Modeling with Functions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Section 1.10Modeling with Functions

  2. Construct Functions from Verbal Descriptions

  3. Example Write the function that will solve this problem. Spice Drops candy calorie count exceeds Smarties candy calorie count by 70 calories per serving. If the sum of one serving of each candy equals 190 calories find the calorie count of each kind of candy.

  4. Continued on the next slide

  5. Example

  6. Example Write the functions for men and women and solve the problem. The percentage of women in the labor force and the percentage of men in the labor force is illustrated in the graph at left. The decrease yearly of men in the labor force is ¼% and the increase in women in the labor force is ½%. If there are presently 70 million men and 60 million women in the labor force, when will the number of both sexes be equal?

  7. Graphing Calculator Solving the previous problem using intersection. Let y1 be the left side of the equation and y2 be the right side of the equation.

  8. Example A local telephone company charges $11 for local phone service and an additional $ .10 for each long distance phone call. A second local telephone company charges $14 for local service and an additional $ .05 for each long distance phone call. For how many minutes of long-distance calls will the costs for the two companies be the same?

  9. Continued on the next slide

  10. Number of Passengers Per Month Revenue Per Month

  11. Functions from Formulas

  12. Example A machine produces open boxes using rectangular sheets of metal measuring 14 inches by 9 inches. The machine cuts equal-sized squares from each corner. Then it shapes the metal into an open box by turning up the sides. Express the volume of the box, V, in cubic inches as a function of the length of the side of the square cut from each corner, x, in inches. x x 9” 14”

  13. Modeling the Area of a Rectangle Given a Specific Perimeter Possible Lengths and Widths if the Perimeter is 140 feet Continued oon the next slide

  14. Modeling the Area of a Rectangle Given a Specific Perimeter

  15. Example You have 300 feet of fencing to fence in a corral for your horse. Express the area of the fenced in area as a function of one of its dimensions. ? - x

  16. Annual Simple Interest on an investment

  17. Example A woman who was going to retire had $100,000 that she invested in her local bank. She put some of the money in a money market account at 3 ½% and some in a certificate of deposit at 4%. If the first year’s interest is $3850, how much money did she put in each account? Write the functions you would use to solve this problem.

  18. Figure 1.80 Continued on the next slide

  19. Example If a cylindrical can is to hold 50 cubic inches of oil. Write the surface area of the cylinder in terms of “r.”

  20. Example Find the distance from the point on the parabola to the origin. Express it as a function of x. The parabola can be described as (x,y)

  21. If you invest a total of $2000 in two accounts. One account pays 5% and another account pays 3%. Write the equation that expresses the amount of interest that you will make in 1 year in terms of x, the amount invested at 3%. (a) I=5(2000+x)+3x (b) I=.05(2000+x)+.03x (c) I=.05(2000-x)+.03x (d) I=5(2000-x)+3x

  22. You have 400 meters of fencing to fence in a garden. Write the formula for the area of the garden as a function of x its width. (a) (b) (c) (d)

More Related