a) The interval [20, 25] represents the range of average miles per gallon of gas for a vehicle. The interpretation of this interval in the context of the question is that it represents the fuel efficiency of a vehicle. The average rate of change of the amount of CO2 emitted per year for a vehicle with an average miles per gallon of gas in the range of [20, 25] can be found by calculating the slope of the line connecting the two endpoints of the interval. Using the formula A(x) = 0.0089x^2 - 0.815x + 22.3, the amount of CO2 emitted per year for an average miles per gallon of gas of 20 is A(20) = 17.11 tons, and for an average miles per gallon of gas of 25 is A(25) = 16.64 tons. Therefore, the average rate of change of the amount of CO2 emitted per year over the interval [20, 25] is:(16.64 - 17.11)/(25 - 20) = -0.094 tons per mile per gallonThe negative sign indicates that the amount of CO2 emitted per year decreases as the average miles per gallon of gas increases in this range. This means that a more fuel-efficient vehicle emits less CO2 per year, which is desirable from an environmental standpoint.b) The average rate of change of the amount of CO2 emitted in a year over the interval [35, 40] can be found in the same way as in part a). Using the formula A(x) = 0.0089x^2 - 0.815x + 22.3, the amount of CO2 emitted per year for an average miles per gallon of gas of 35 is A(35) = 14.08 tons, and for an average miles per gallon of gas of 40 is A(40) = 13.32 tons. Therefore, the average rate of change of the amount of CO2 emitted per year over the interval [35, 40] is:(13.32 - 14.08)/(40 - 35) = -0.152 tons per mile per gallonThe negative sign again indicates that the amount of CO2 emitted per year decreases as the average miles per gallon of gas increases in this range. This confirms that a more fuel-efficient vehicle emits less CO2 per year, which is desirable from an environmental standpoint.c) The difference between the values found in parts a) and b) represents the difference in the average rate of change of the amount of CO2 emitted per year for two different ranges of average miles per gallon of gas. The average rate of change is greater for the interval [35, 40] than for the interval [20, 25]. This means that the amount of CO2 emitted per year decreases at a faster rate as the average miles per gallon of gas increases in the range of [35, 40] than in the range of [20, 25]. In terms of vehicle emissions of CO2, this implies that a more fuel-efficient vehicle with an average miles per gallon of gas in the range of [35, 40] would have a greater impact on reducing carbon emissions than a vehicle in the range of [20, 25]. However, it's important to consider that a vehicle's fuel efficiency is not the only factor that should be taken into account when considering its environmental impact. Other factors, such as the type of fuel used and the production process of the vehicle, can also have significant effects on carbon emissions. Therefore, a vehicle with a higher average miles per gallon of gas is generally more ideal from an environmental standpoint, but other fac

1) Carbon Dioxide Emissions Carbon emissions contribute to climate change, which has serious consequences for humans and their environment. According to the U.S. Environmental Protection Agency, carbon emissions, in the form of carbon dioxide (CO2), make up more than 80 percent of the greenhouse gases emitted in the United States (EPA, 2022). The burning of fossil fuels releases CO2 and other greenhouse gases. These carbon emissions raise global temperatures by trapping solar energy in the atmosphere. This alters water supplies and weather patterns, changes the growing season for food crops, and threatens coastal communities with increasing sea levels (EPA, 2017). The amount of CO2 emitted per year A (in tons) for a vehicle that averages x miles per gallon of gas, can be approximated by the function A(x) = 0.0089x2 - 0.815x + 22.3. a) Interpret the interval [20, 25] in the context of the question and then calculate and interpret the average rate of change. Sa. Son ever 0505 Ed aCE $8.086 , zeeE b) Determine the average rate of change of the amount of CO2 emitted in a year over the interval [35, 40], and interpret its meaning. to sided wiemmuz s solemn of sisb erod) sad en odet 1916 boseng ovEd ford easy to indmun ord smiled c) Provide an interpretation of the difference between the values found in parts a) and b) and state the implications in the context of vehicle emissions of CO2. Be sure to discuss what the difference is between the average miles per gallon of 20-25 versus 35-40 (Department of Energy, 2019). Is one more ideal? Provide an explanation of your reasoning in at least 1-2 paragraphs