SOLUTION: You are driving on a business trip to another city. Let D(g) represent the distance (in mile) you can drive on g gallons of gas. Let T(D) represent the time it takes (in hours) to

Question 1116043: You are driving on a business trip to another city. Let D(g) represent the distance (in mile) you can drive on g gallons of gas. Let T(D) represent the time it takes (in hours) to drive a distance of D mile. Let f(g) = T(D(g))
1. What does f(g) = T(D(g)) represent?
2. Explain what D(4) = 120 means in principal terms.
3. Explain what T '(120) = 1/60 means in principal terms.
4. Explain what D '(4) = 30 means in principal terms.
5. Find and interpret f '(4).
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
You are driving on a business trip to another city. Let D(g) represent the distance (in mile) you can drive on g gallons of gas. Let T(D) represent the time it takes (in hours) to drive a distance of D mile. Let f(g) = T(D(g))
1. What does f(g) = T(D(g)) represent?::time to drive D miles with g gallons of gas
2. Explain what D(4) = 120 means in principal terms. 4 gallons will get you
120 miles
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3. Explain what T'(120) = 1/60 means in principal terms. the rate to achieve
120 miles is one hour per 60 miles
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4. Explain what D'(4) = 30 means in principal terms. 30 miles per gallon
corresponds to 4 gallons of gas
-----------------------------
5. Find and interpret f '(4). f'(4) = T'(D(4)) = the rate to achieve D miles
with 4 gallons of gas
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Cheers,
Stan H.
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