1 / 6

Word problems/Function notes absent copy Thurs/Fri 4/11,12

Word problems/Function notes absent copy Thurs/Fri 4/11,12.

alexis-long
Download Presentation

Word problems/Function notes absent copy Thurs/Fri 4/11,12

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. Word problems/Function notesabsent copyThurs/Fri 4/11,12

  2. Function and its rulesA function is a set of ordered pairs (x,y) so that each x value we pick corresponds to exactly one y value after we solve.Ex: y = 2x + 3 (2,7) 7 = 2(2) + 3 7 = 4 + 3 7 = 7 y = 2x + 9Function ruleoutput = y input = x

  3. Example 1 • A taxi driver charges a flat rate of 2 dollars to ride in a cab. He also charges 1 dollars for every mile that he has to drive. Write an equation that represents a person that travels from 1 to 3 miles in a cab and how much it costs for each ride. Hint: y = total cost and x = the number of miles the taxi drove. y = 1x + 2 • How do we write the equation of a line in slope intercept form? • Y = mx + b • What is the constant (b) that never changes in the word problem? • b = 2 • What is the slope (m) in this word problem. • m = 1 • What input (X) do we have to substitute in to the linear equation in order to find the total cost (output, Y) for each ride? • 1 to 3 can be put in for the input.

  4. Graph example 1 • Show the work from example 1 Below. 1. y = 1(1) + 2 y = 1 + 2 y = 3 (1,3) • Y = 1(2) + 2 y = 2 + 2 y = 4 ( 2,4) • Y = 1(3) + 2 y = 3 + 2 y = 5 ( 3,5)

  5. Example 2 • Shasta pays $1 for a can of dog food each day. She also pays $2 for each cookie she buys. Write an equation that represents Shasta buying 1 to 3 cookies and how much is her total treat fee. y = 2x + 1 • How do we write the equation of a line in slope intercept form? • Y = mx + b • What is the constant (b) that never changes in the word problem? • b = 1 • What is the slope (m) in this word problem. • m = 2 • What input (X) do we have to substitute in to the linear equation in order to find the total cost (output, Y) for each ride? • 1 to 3 cookies is the input

  6. Graph from Example 2 • Show the work from example 2 Below. • 1. y = 2(1) + 1 y = 2 + 1 y = 3 (1,3) • 2. y = 2(2) + 1 y = 4 + 1 y = 5 (2,5) • 3. y = 2(3) + 1 y = 6 + 1 y = 7 (3,7)

More Related