The table lists fossil fuel production as a percentage of total energy production for selected years. A linear regression model for this data is y=−0.30x+93.8 where x represents years after 1960 and y represents the corresponding percentage of oil imports. Fossil Fuel Production Year Production (%) 1960 94 1970 92 1980 86 1990 84 2000 83 (A Interpret the slope of the model. The rate of change of the percentage of oil imports with respect to time is ? per year. (B) Use the model to predict fossil fuel production in 2010. In 2010 fossil fuel production as a percentage of total production will be about ? (Round to one decimal place as needed.) (C) Use the model to estimate the year in which fossil fuel production will fall below 70% of total energy production. In the year ? fossil fuel production is expected to fall below 70% of total energy production. (Round up to the nearest year.)
The table lists fossil fuel production as a percentage of total energy production for selected years. A linear regression model for this data is y=−0.30x+93.8 where x represents years after 1960 and y represents the corresponding percentage of oil imports. Fossil Fuel Production Year Production (%) 1960 94 1970 92 1980 86 1990 84 2000 83 (A Interpret the slope of the model. The rate of change of the percentage of oil imports with respect to time is ? per year. (B) Use the model to predict fossil fuel production in 2010. In 2010 fossil fuel production as a percentage of total production will be about ? (Round to one decimal place as needed.) (C) Use the model to estimate the year in which fossil fuel production will fall below 70% of total energy production. In the year ? fossil fuel production is expected to fall below 70% of total energy production. (Round up to the nearest year.)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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The table lists fossil fuel production as a percentage of total energy production for selected years. A linear regression model for this data is
y=−0.30x+93.8
where x represents years after 1960 and y represents the corresponding percentage of oil imports.
|
Fossil Fuel Production
|
|
|
Year
|
Production (%)
|
|
1960
|
94
|
|
1970
|
92
|
|
1980
|
86
|
|
1990
|
84
|
|
2000
|
83
|
(A Interpret the slope of the model.
The rate of change of the percentage of oil imports with respect to time is
? per year.
(B) Use the model to predict fossil fuel production in 2010.
In 2010 fossil fuel production as a percentage of total production will be about ?
(Round to one decimal place as needed.)
(C) Use the model to estimate the year in which fossil fuel production will fall below 70% of total energy production.
In the year ? fossil fuel production is expected to fall below 70% of total energy production.
(Round up to the nearest year.)
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