Problem Solving Using Inductive Reasoning to Make Conjectures The table shows the lengths of five green iguanas after birth and then after 1 year. 1. Estimate the length of a green iguana after 1 year if it was 8 inches long when it hatched.
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2. Make a conjecture about the average growth of a green iguana during the first year. ________________________________________________________________________________________ The times for the first eight matches of the Santa Barbara Open women’s volleyball tournament are shown. Show that each conjecture is false by finding a counterexample. Match 1 2 3 4 5 Time 0:31 0:56 0:51 0:18 0:50 0:34 1:03 0:36 3. Every one of the first eight matches 4. These matches were all longer than lasted less than 1 hour. a half hour.
6
7
8
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Choose the best answer.
5. The table shows the number of cells present during three phases of mitosis. If a sample contained 80 cells during interphase, which is the best prediction for the number of cells present during prophase? A 18 cells C 40 cells B 24 cells D 80 cells 6. About 75% of the students at Jackson High School volunteer to clean up a half-mile stretch of road every year. If there are 408 students in the school this year, about how many are expected to volunteer for the clean-up? 7. Mara earned $25, $25, $20, and $28 in the last 4 weeks for walking her neighbor’s dogs. If her earnings continue in this way, which is the best estimate for her average weekly earnings for next month?
F 102 students H 306 students G 204 students J 333 students A $20.50 C $24.50 B $23.33 D $25.00
Iguana
Length after
Hatching (in.)
Length after
1 Year (in.)
1
10
36
2
9
34
3
11
35
4 12 5 10
35
37
Sample
Number of Cells
Interphase Prophase Metaphase 1 86 22 2 70 28 3 76 32 4 91 25 5 65 16 6 89 34
5
3
3
5
4
6