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The function f gives the weekly profit, in thousand dollars, that an airline makes on its flights from Boston to Washington D.C. when the ticket price is p dollars. Interpret the following.(a) f(70) 10When the ticket price is $ 70, the weekly profit to the airline on flights from Boston to Washington is $ 70Xf'(70) 5.5(b), the weekly profit to the airline on flights from Boston to Washington is-Selectx per dollar (of ticket price)When the ticket price is $ 70by $ 5.5f'(90)1(с)the weekly profit to the airline on flights from Boston to Washington isSelectWhen the ticket price is $90per dollar (of ticket price).by $ -1

Question
The function f gives the weekly profit, in thousand dollars, that an airline makes on its flights from Boston to Washington D.C. when the ticket price is p dollars. Interpret the following.
(a) f(70) 10
When the ticket price is $ 70
, the weekly profit to the airline on flights from Boston to Washington is $ 70
X
f'(70) 5.5
(b)
, the weekly profit to the airline on flights from Boston to Washington is-Select
x per dollar (of ticket price)
When the ticket price is $ 70
by $ 5.5
f'(90)1
(с)
the weekly profit to the airline on flights from Boston to Washington isSelect
When the ticket price is $90
per dollar (of ticket price).
by $ -1
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The function f gives the weekly profit, in thousand dollars, that an airline makes on its flights from Boston to Washington D.C. when the ticket price is p dollars. Interpret the following. (a) f(70) 10 When the ticket price is $ 70 , the weekly profit to the airline on flights from Boston to Washington is $ 70 X f'(70) 5.5 (b) , the weekly profit to the airline on flights from Boston to Washington is-Select x per dollar (of ticket price) When the ticket price is $ 70 by $ 5.5 f'(90)1 (с) the weekly profit to the airline on flights from Boston to Washington isSelect When the ticket price is $90 per dollar (of ticket price). by $ -1

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Step 1

As f gives the weekly profit in thousand dollars, that an airline makes on flights from Boston to Washington D.C, When the ticket price is p dollars.

 (a)  f(70)­ = 10

When the ticket price is $70, the weekly profit to the airline on flights
from Boston to Washington is $10,000
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When the ticket price is $70, the weekly profit to the airline on flights from Boston to Washington is $10,000

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Step 2

(b) f’(70) ...

When the ticket price is $70, the weekly profit to the airline on flights
from Boston to Washington is increasing by $5.5 per dollar
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When the ticket price is $70, the weekly profit to the airline on flights from Boston to Washington is increasing by $5.5 per dollar

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Tagged in

Math

Calculus

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