II. A. Suppose that on February 1, 1995 a certain soft drink was being consumed at the rate of 10.4 million gallons per year. 1. Estimate, accurate to the nearest thousandth, the number of millions of gallons of that soft drink which would be consumed during the entire month of February (it had 28 days that year). 2. Under what assumption would the graph of a linear function pass through the data points described as time measured in years, the total amount of his soft drink consumed by that time)? B. Suppose that at a certain time the mass of a clump of 4.6 grams of a certain radioactive substance is changing at the rate of 0.28 grams per day due to radioactive decay. 1. Compute, accurate to the nearest hundredth, a linear estimate of the change in the mass of the radioactive substance over the next 6 hours. 2. What do you think will be the rate of change of the amount of this radioactive substance at the time when its mass will have decreased to 2.3 grams? 3. Use your answer for "2" right above to compute a linear estimate of the change in the mass of the substance over the 6 hours immediately following the time the mass had reached 2.3 grams. 4. Sketch what you think might be a reasonable graph of a function model for the data points described as the time (in days) since the mass of the radioactive substance was 4.6 grams, the mass of the remaining radioactive substance at that time). II. A. Suppose that on February 1, 1995 a certain soft drink was being consumed at the rate of 10.4 million gallons per year. 1. Estimate, accurate to the nearest thousandth, the number of millions of gallons of that soft drink which would be consumed during the entire month of February (it had 28 days that year). 2. Under what assumption would the graph of a linear function pass through the data points described as time measured in years, the total amount of his soft drink consumed by that time)? B. Suppose that at a certain time the mass of a clump of 4.6 grams of a certain radioactive substance is changing at the rate of 0.28 grams per day due to radioactive decay. 1. Compute, accurate to the nearest hundredth, a linear estimate of the change in the mass of the radioactive substance over the next 6 hours. 2. What do you think will be the rate of change of the amount of this radioactive substance at the time when its mass will have decreased to 2.3 grams? 3. Use your answer for "2" right above to compute a linear estimate of the change in the mass of the substance over the 6 hours immediately following the time the mass had reached 2.3 grams. 4. Sketch what you think might be a reasonable graph of a function model for the data points described as the time (in days) since the mass of the radioactive substance was 4.6 grams, the mass of the remaining radioactive substance at that time)
