At a particular location, f(p) is the number of gallons of gas sold when the price is p dollars per gallon. (a) What does the statement f(4) = 4135 tell you about gas sales? When the price is $ i (b) Find and interpret f-¹ (4135). i If the price increases from $ (c) What does the statement f' (4)=1242 tell you about gas sales? i When i gallons are sold when the price is $i i per gallon, i i gallons per $1 increase in price. (d) Find and interpret (f-¹)' (4135). Where necessary, round to five decimal places. per gallon, the sales dollars. are already sold, sales gallons of gas are sold. per gallon. at a rate of at the rate of one gallon per price increase of

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 56E
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At a particular location, f(p) is the number of gallons of gas sold when the price is p dollars per gallon.
(a) What does the statement f(4) = 4135 tell you about gas sales?
When the price is $i
(b) Find and interpret f-¹ (4135).
i
(c) What does the statement f' (4)
gallons are sold when the price is $i
If the price increases from $ i
When
=
per gallon, i
1242 tell you about gas sales?
gallons per $1 increase in price.
(d) Find and interpret (ƒ-¹)' (4135). Where necessary, round to five decimal places.
dollars.
per gallon, the sales
are already sold, sales
gallons of gas are sold.
per gallon.
at a rate of
at the rate of one gallon per price increase of
Transcribed Image Text:At a particular location, f(p) is the number of gallons of gas sold when the price is p dollars per gallon. (a) What does the statement f(4) = 4135 tell you about gas sales? When the price is $i (b) Find and interpret f-¹ (4135). i (c) What does the statement f' (4) gallons are sold when the price is $i If the price increases from $ i When = per gallon, i 1242 tell you about gas sales? gallons per $1 increase in price. (d) Find and interpret (ƒ-¹)' (4135). Where necessary, round to five decimal places. dollars. per gallon, the sales are already sold, sales gallons of gas are sold. per gallon. at a rate of at the rate of one gallon per price increase of
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