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A student is trying to determine the half-life of radioactive iodine-131. They measure the amount, I, of iodine-131 in a sample solution every 8 hours. Their data are shown in the table. Time (hours) Amount (grams) 8 4.88 16 4.71 24 4.60 32 4.48 40 4.39 48 4.28 a. Find a fully defined exponential model of the data. (Round all numerical values to three decimal places.) E(t) = t 4. ≤48 grams is the amount of iodine-131 in a sample solution after thours where 8 9. b. Find a fully defined logarithmic model of the data. (Round all numerical values to three decimal places.) is the amount of iodine-131 in a sample solution after thours L(t) = 2. grams t 948 2. where 8 c. Use the unrounded models in Parts a and b to estimate the amount of iodine-131 after 29 hours. (Round your answers to three decimal places.) E(29)= grams L(29) = grams d. Which of the two models better displays the end behavior suggested by the context? The exponential model.

A student is trying to determine the half-life of radioactive iodine-131. They measure the amount, I, of iodine-131 in a sample solution every 8 hours. Their data are shown in the table. Time (hours) Amount (grams) 8 4.88 16 4.71 24 4.60 32 4.48 40 4.39 48 4.28 a. Find a fully defined exponential model of the data. (Round all numerical values to three decimal places.) E(t) = t 4. ≤48 grams is the amount of iodine-131 in a sample solution after thours where 8 9. b. Find a fully defined logarithmic model of the data. (Round all numerical values to three decimal places.) is the amount of iodine-131 in a sample solution after thours L(t) = 2. grams t 948 2. where 8 c. Use the unrounded models in Parts a and b to estimate the amount of iodine-131 after 29 hours. (Round your answers to three decimal places.) E(29)= grams L(29) = grams d. Which of the two models better displays the end behavior suggested by the context? The exponential model.

Understanding Business
Understanding Business
12th Edition
ISBN:9781259929434
Author:William Nickels
Publisher:William Nickels
Chapter1: Taking Risks And Making Profits Within The Dynamic Business Environment
Section: Chapter Questions
Problem 1CE
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A student is trying to determine the half-life of radioactive iodine-131. They measure the amount, I, of iodine-131 in a sample solution every 8 hours. Their data are shown in the table. Time (hours) Amount (grams) 8 4.88 16 4.71 24 4.60 32 4.48 40 4.39 48 4.28 a. Find a fully defined exponential model of the data. (Round all numerical values to three decimal places.) E(t) = t 4. ≤48 grams is the amount of iodine-131 in a sample solution after thours where 8 9. b. Find a fully defined logarithmic model of the data. (Round all numerical values to three decimal places.) is the amount of iodine-131 in a sample solution after thours L(t) = 2. grams t 948 2. where 8 c. Use the unrounded models in Parts a and b to estimate the amount of iodine-131 after 29 hours. (Round your answers to three decimal places.) E(29)= grams L(29) = grams d. Which of the two models better displays the end behavior suggested by the context? The exponential model.
Transcribed Image Text:A student is trying to determine the half-life of radioactive iodine-131. They measure the amount, I, of iodine-131 in a sample solution every 8 hours. Their data are shown in the table. Time (hours) Amount (grams) 8 4.88 16 4.71 24 4.60 32 4.48 40 4.39 48 4.28 a. Find a fully defined exponential model of the data. (Round all numerical values to three decimal places.) E(t) = t 4. ≤48 grams is the amount of iodine-131 in a sample solution after thours where 8 9. b. Find a fully defined logarithmic model of the data. (Round all numerical values to three decimal places.) is the amount of iodine-131 in a sample solution after thours L(t) = 2. grams t 948 2. where 8 c. Use the unrounded models in Parts a and b to estimate the amount of iodine-131 after 29 hours. (Round your answers to three decimal places.) E(29)= grams L(29) = grams d. Which of the two models better displays the end behavior suggested by the context? The exponential model.
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