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