Freon Production The production of ozone-layer-damaging Freon 22 (chlorodifluoromethane) in developing countries rose from 200 tons in 2004 to a projected 590 tons in 2010. 16 a. Use this information to find both a linear model and an exponential model for the amount F of Freon 22 (in tons) as a function of time t in years since 2000. (Round all coefficients to three significant digits.) [HINT: See Example 2. ] Which of these models would you judge to be more appropriate to the data shown below? Year t (years since 2000) 0 2 4 6 8 10 Amount of Freon 22 F (tons) 100 140 200 270 400 590 b. Use the better of the two models from part (a) to predict the 2008 figure, and compare it with the projected figure above.
Freon Production The production of ozone-layer-damaging Freon 22 (chlorodifluoromethane) in developing countries rose from 200 tons in 2004 to a projected 590 tons in 2010. 16 a. Use this information to find both a linear model and an exponential model for the amount F of Freon 22 (in tons) as a function of time t in years since 2000. (Round all coefficients to three significant digits.) [HINT: See Example 2. ] Which of these models would you judge to be more appropriate to the data shown below? Year t (years since 2000) 0 2 4 6 8 10 Amount of Freon 22 F (tons) 100 140 200 270 400 590 b. Use the better of the two models from part (a) to predict the 2008 figure, and compare it with the projected figure above.
Solution Summary: The author calculates the linear and exponential models for the amount of Freon 22 (in tons) as a function of time in years since 2000.
Freon Production The production of ozone-layer-damaging Freon 22 (chlorodifluoromethane) in developing countries rose from 200 tons in 2004 to a projected 590 tons in 2010.16
a. Use this information to find both a linear model and an exponential model for the amount F of Freon 22 (in tons) as a function of time t in years since 2000. (Round all coefficients to three significant digits.) [HINT: See Example 2.] Which of these models would you judge to be more appropriate to the data shown below?
Year t(years since 2000)
0
2
4
6
8
10
Amount of Freon 22 F (tons)
100
140
200
270
400
590
b. Use the better of the two models from part (a) to predict the 2008 figure, and compare it with the projected figure above.
find the zeros of the function algebraically:
f(x) = 9x2 - 3x - 2
Rylee's car is stuck in the mud. Roman and Shanice come along in a truck to help pull her out. They attach
one end of a tow strap to the front of the car and the other end to the truck's trailer hitch, and the truck
starts to pull. Meanwhile, Roman and Shanice get behind the car and push. The truck generates a
horizontal force of 377 lb on the car. Roman and Shanice are pushing at a slight upward angle and generate
a force of 119 lb on the car. These forces can be represented by vectors, as shown in the figure below. The
angle between these vectors is 20.2°. Find the resultant force (the vector sum), then give its magnitude
and its direction angle from the positive x-axis.
119 lb
20.2°
377 lb
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