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Chapter 4 Lesson 6 Note Guide Name _______________________________ Construct Functions The INTIAL VALUE of a function is corresponding ____________ when the ___________ equals 0. 1. A shoe store offers free points when you sign up for their rewards card. Then, for each pair of shoes purchased, you earn an additional number of points. The graph shows the total points earned for several pairs of shoes. Find and interpret the rate of change and initial value. rate of change: ___________ initial value: ___________ 2. Music Inc. charges a yearly subscription fee plus a monthly fee. The total cost for different numbers of months, including the yearly fee, is shown in the graph. Find and interpret the rate of change and initial value. rate of change: ___________ initial value: ___________ 3. Jessie has some photos in her photo album. Each week she plans to add 12 photos. Jessie had 120 photos after 8 weeks. Assume the relationship is linear. Find and interpret the rate of change and initial value. rate of change: ___________ initial value: ___________ 4. A zoo charges a rental fee plus $2 per hour for strollers. The total cost of 5 hours is $13. Assume the relationship is linear. Find and interpret the rate of change and initial value. rate of change: ___________ initial value: ___________ 5. The table show how much money Ava has saved. Assume the relationship between the two quantities is linear. Find and interpret the rate of change an initial value. rate of change: ___________ initial value: ___________ 6. Each week, Sam works the same number of hours. Her first week included an orientation. The total number of hours that she worked the 2nd, 3rd, and 4th weeks was 20 hours, 28 hours, and 36 hours. Assume the relationship is linear. Find and interpret the rate of change and initial value. rate of change: ___________ initial value: ___________ 7. The table shows the weight of a puppy in weeks 4, 5, 6, and 7. Assume the relationship between the two quantities is linear. Find and interpret the rate of change and initial value. rate of change: ___________ initial value: ___________ Number of Weeks (x) Weight in pounds (y) 4 17 5 20 6 23 8. The table shows the monthly cost of sending text messages. Assume the relationship between the two quantities is linear. Find and interpret the rate of change and initial value. rate of change: ___________ initial value: ___________ Hw: Pg 322 #1-4, pg 323 #1-4, pg 324 #9, pg 326 #13 7 26