1 / 9

Writing Linear Equations from Situations and Graphs

Writing Linear Equations from Situations and Graphs. How do you write an equation to model a linear relationship given a graph or a description?. 5.1. ADDITIONAL EXAMPLE 1.

true
Download Presentation

Writing Linear Equations from Situations and Graphs

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. Writing Linear Equations from Situations and Graphs How do you write an equation to model a linear relationship given a graph or a description? 5.1

  2. ADDITIONAL EXAMPLE 1 A DJ charges a setup fee plus an hourly fee to provide music for a dance party. Use the graph to write an equation in slope-intercept form to represent the amount spent, y, on x hours of music. y = 75x + 100

  3. ADDITIONAL EXAMPLE 2 The cost for 25 square yards of carpet is $650 including delivery and installation. The cost for 40 square yards of installed carpet is $950. Write an equation in slope-intercept form for the cost of the installed carpet. y = 20x + 150

  4. 5.1 LESSON QUIZ 8.5.I 1. Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation in y = mx + b form for the total cost of x pounds of fruit from the orchard. y = 2.50x + 3

  5. A camp charges families a fee of $625 per month for one child and a certain amount more per month for each additional child. Use the graph to write an equation in slope-intercept form to represent the amount a family with x additional children would pay. 2. y = 225x + 625

  6. 3. Identify the y-intercept in question 2 above. Tell what the y-intercept means in this context. b = 625, the fixed fee for one child 4. A driving range charges $4 to rent a golf club plus $2.75 for every bucket of golf balls you hit. Write an equation that shows the total cost c of hitting b buckets of golf balls. c = 2.75b + 4

  7. Give each pair of students a sheet of graph paper marked with the x- and y-axes, and pencils or pieces of wire or spaghetti to use for the lines to make quick graphs. One student calls out a slope (for example, m = 0 or 1, or 0.5, or 5, or -1) and the other places the line on the graph in the approximate position going through the origin, (for example: horizontal, bisecting QI, less steep than y = x, steeper than y = x, or bisecting QII).

  8. Then have one student call out a slope and ay-intercept and the other place the line. If students have trouble, have them place a line with the same slope through the origin and then move it to go through the y-intercept.

  9. How do you write an equation to model a linear relationship given a graph or a description? Use pairs of values for input and output to determine the values for the slope m and the y-intercept b in the equation y = mx + b.

More Related