Final answer:
The total reduction in revenue between the two models from 2008 to 2015 is calculated by finding the difference in revenue for each year (R1 - R2 = 0.11t) and summing these values from t = 8 to t = 15, after which the result is rounded to three decimal places.
Step-by-step explanation:
The student's question asks for the approximate total reduction in revenue, between models R1 and R2, from 2008 to 2015. The formulas for R1 and R2 are given by:
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- R1 = 7.21 + 0.55t
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- R2 = 7.21 + 0.44t
To find the total reduction in revenue, we need to calculate the difference in projected revenues between the two models for each year from t = 8 (2008) to t = 15 (2015) and sum these differences.
First, we'll calculate the difference for each year, which is (R1 - R2) = (0.55t - 0.44t) = 0.11t.
Now, we sum the differences from t = 8 to t = 15:
Total Reduction = ∑ from t=8 to t=15 (0.11t)
Performing this calculation, we get:
Total Reduction = (0.11 * 8) + (0.11 * 9) + ... + (0.11 * 15)
This results in a value that we need to round to three decimal places to get the final answer.
Each of the amounts calculated above represents the reduction in billions of dollars for each corresponding year.