Suppose you know that at 6 feet the instantaneous rate of change of the temperat

Question

Suppose you know that at 6 feet the instantaneous rate of change of the temperature is -4.5degreeF/ft and the instantaneous rate of change of illumination is -3% candle power/ft. Estimate the temperatuic and the illumination at 7 feet. Are you in the dark before you are cold, or vice versa? ChlorofluororarlMins (CFQs) in the Atmosphere Chlorofluorocarbons (CFCsi were used as propellants in spray cans until their buildup in the atmosphere started destroying the ozone, which protects as from ultraviolet rays. Since the 1987 Montreal Protocol (an agreement to curb CFCs). the CFCs in the atmosphere above the US have been reduced from a high of 3200 parts per trillion (ppt) in 1994 to 2750 ppt in 2010.^32 The reduction has been approximately linear. Let C(t) be the concentration of CFCs in ppt in year t. Find C(1991) and C(2010). Estimate Cprime(1994) and Cprime(2010). Assuming C(t) is linear, find a formula for C(t). When is C(t) expected to reach 1850 ppt. the level before CFCs were introduced? If you were told that in the future. C(f) would not be exactly linear, and that CPrime(t) greaterthan 0. would your answer to part (d) be too early or too late?

Explanation / Answer

and C’ =

           = 28.15
(c) Assuming C(t) is linear, find a formula for C(t).

C(t) = C' * (t - 1994) + 3200

(d) When is C(t) expected to reach 1850 ppt, the level before CFCs were introduced?"

Solve in above the relation(c) for t, and solve. Substitute "1850" for "C(t)"...

(e) If you were told that in the future, C(t) would not be exactly linear, and that C(t)>0, would your answer to part d be too early or too late?"

This means the decay curve is turning up, so the actual date moves further out, so the date predicted is too early.

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