Let C be the room temperature in degrees celsius and F be the temperature in degrees Fahrenheit. Then relationship between C and F tempertaure scales is given by C = 5/9 (F-32). You would like to set your thermostate so that the room temperature is always within a specified range in degrees celsius, but your thermostat is set up in Farhrenheit.   a) Translate the statement, "the temperature is always within 2 deg C of 20 deg C" into mathematical notion using an inequality involoving absolute values and F.   b) Use the relationship between C and F to verify that 68 deg F = 20 deg C.   c) If you would like the temeprature to always be within d degree celsius of 20 deg C, how close should F be to 68 deg F? Your answer will be in terms of d. (Hint: Start by translating the question into mathematical nnotion and use the fact that 20 = 5/9 (36).)

Mean Temperature (°C) The following scatterplot shows the mean annual carbon dioxide (CO,) in parts per million (ppm) d) What is the meaning of the slope of this equation? measured at the top of a mountain and the mean annual air temperature over both land and sea across the globe, in degrees Celsius (C). Complete parts a through h on the right. O A. For every degree that the mean temperature increases, CO, levels increase by 0.004 ppm. 16.800 O B. For every 0.004 ppm increase in CO, levels, the mean temperature increases by 1°C. 16.725 OC. For every 1 ppm increase in CO, levels, the mean temperature increases by 0.004°C. 16.650 O D. The slope does not have a meaningful interpretation in the context of this problem. 16.575 16.500 e) What is the meaning of the y-intercept of this equation? 337.5 CO, (ppm) 350.03 325.0 362.5 A. For every 1 ppm increase in CO, levels, the mean temperature increases by 0.004°C. Click here to view the regression output. O B. When the CO, level is 0 ppm, the…

Mean Temperature (°C) The following scatterplot shows the mean annual carbon dioxide (CO,) in parts per million (ppm) d) What is the meaning of the slope of this equation? measured at the top of a mountain and the mean annual air temperature over both land and sea across the globe, in degrees Celsius (C). Complete parts a through h on the right. O A. For every degree that the mean temperature increases, CO, levels increase by 0.004 ppm. 16.800 O B. For every 0.004 ppm increase in CO, levels, the mean temperature increases by 1°C. 16.725 OC. For every 1 ppm increase in CO, levels, the mean temperature increases by 0.004°C. 16.650 O D. The slope does not have a meaningful interpretation in the context of this problem. 16.575 16.500 e) What is the meaning of the y-intercept of this equation? 337.5 CO, (ppm) 350.03 325.0 362.5 A. For every 1 ppm increase in CO, levels, the mean temperature increases by 0.004°C. Click here to view the regression output. O B. When the CO, level is 0 ppm, the…