Functions From Geometry

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Presentation transcript:

Functions From Geometry More Examples of Functions

1 -20 1 -20 -20 1 1 -20 Rate of Change = Change in Y = -20 = -20 miles per gallon Change in X 1 m = y2 – y1 = 130-150 = -20 = -20 x2 – x1 1 1

Think: What do I know? there are 60 minutes in 1 hour The situation gave me my information in miles per minute, so I will have to change my minutes to hours….. 2 miles = 0.05 miles per minute * 60 minutes = 3 miles per hour 40 min

(6, 500) What is this graph a model of? Slope is positive Line does NOT start at 0,0, so I have a starting value greater than 0 My y axis is counting by 50’s and my x axis is counting by 1’s I can eliminate choice C since it represents a negative slope M = 350 – 50 = 300 4 – 0 4 (0, 50) $75 per month

+3 +3 +51 +51 Rate of Change = Change in y = 51 = 17 per dvd Change in x 3 OR M = 102 - 51 = 51 =17 per dvd 6-3 3

(550,40) (350,30) (0,20) (150,20)

0-150 minutes: 20 -20 = 6 = 0 No Change 150-0 150 150 -550 minutes: 30-20 = 10 = $0.05 per minute 350-150 200 Customer pays $ 20 for the first 150 minutes and then $0.05 per minute for every minute after 150.