1 / 12

MAT 150 – Algebra Class #3

MAT 150 – Algebra Class #3. Today’s Topics: Identify Linear Functions Intercepts/Slopes Graph Linear Functions Rate of Change Identity and Constant Functions Apply Linear Revenue, Cost, and Profit. Linear Functions . A function whose graph is a line is a linear functions .

eithne
Download Presentation

MAT 150 – Algebra Class #3

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. MAT 150 – Algebra Class #3 Today’s Topics: Identify Linear Functions Intercepts/Slopes Graph Linear Functions Rate of Change Identity and Constant Functions Apply Linear Revenue, Cost, and Profit

  2. Linear Functions • A function whose graph is a line is a linear functions. Linear Function A linear function is a function that can be written in the form , where a and b are constants. Ex) Linear: Non-Linear: y= -17.8x – 6 y = 4

  3. Intercepts Intercepts are points that cross the x-axis and the y-axis. To Find the y-intercept: Let x = 0 and solve for y To Find the x-intercept: Let y = 0 and solve for x Example: Find the x-intercept and y-intercept of the graph 4x-12y =22

  4. Loan Balance A student promised to pay off a $35,000 loan plus the $7,000 interest on this loan by making 120 monthly payments of $350. Although the amount of money remaining to be paid changes every month, it can be modeled by the linear functions where x is the number of monthly payments made. • Find the x-intercepts and the y-intercepts of the graph of this liner equation. • Interpret the intercepts in the context of this problem situation. • How should x and y be limited in this model so that they make sense in the application? • Use the intercepts and the results of part (c) to sketch the graph of the given equation.

  5. Slope (aka Rate of Change) of a Line Slope =

  6. Finding Slope Given 2 Points Find the slope of each: • (-3, 2) and (5, -4) • (8, -3) and (7, -4)

  7. Part I - Slope Match each equation with the possible slope: y = 2x + 3 y = 5 x = 2 y = - 2x + 5

  8. Slope and y-Intercept of a Line The slope of the graph of the equation is m and the y-intercept of the graph b, so the graph crosses the y-axis at (0,b).

  9. Special Linear Functions Constance Function Identity Function y = b, where b is a real number y = x

  10. Revenue, Cost and Profit The profit that a company makes on its product is the difference between the amount received from sales (revenue) and the production and sales cost. Goes a little something like this in the math world: Where, P(x) = profit from sale of x units R(x) = total revenue from sale of x units C(x) = total cost of production and sale of x units

  11. iWow Apple manufactures a 16GB Wi-Fi-only iPad 3 and sells them for $499. The cost incurred in the production and sale of the iPad are $500,000* plus $316** for each iPad produced and sold. Write the profit function for the production and sale of x iPads. *Yeah….I made this up. Judge me! ** According to http://www.ijailbreak.com/ipad/how-much-does-new-ipad-cost-to-make

  12. Assignment Pg. 54-57 #1-19 odd #35-38 all #42-43

More Related