9.2.3 Modeling Real-World Data − Worksheet
Example 1: Use constant differences or ratios to determine which parent function would best model the given data set. 1. 2. 3.
x 0 1 2 3 4 5
y
x
y 2 6
x 6
y
125 150 180 216
11 47 99
69.6 51.4 33.2
13 20 27 34 41
10 14 18 22
167 251 351
15
259.2 311.04
− 3.2 − 21.4
Example 2: 4. This table shows the mass in grams m of the radioactive substance iodine-131 remaining in a container t days after the beginning of an experiment. Time t (days) 0 1 2 3 4 5 6 Mass m (g) 1000 917.40 841.62 772.10 708.33 649.82 596.14 a. Write a function that models the data.
b. Use your model to predict the number of grams of iodine-131 that will be left after 20 days.
c. Use your model to predict when there will be less than 50 grams remaining.
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