Answer:
k
Step-by-step explanation:
k
The fare of $(20 - 2.5) = $17.5 will maximize the total fare.
<h3>What is Differentiation?</h3>
Differentiation means the rate of change of one quantity with respect to another. The speed is calculated as the rate of change of distance with respect to time.
Here, The operator for a round-trip fare of $20, carries an average of 500 people per day.
It is estimated that 20 fewer people will take the trip, for each $1 increase in fare.
for $x increase in fare, 20x less people will take the trip and at that time the total fare F is given by
f(x) =(20 + x)(500 - 20x)
f (x) = 10000 + 100x - 20x²
For f(x) to be maximum, the condition is dy/dx = 0
100 - 40x = 0
⇒ x = 2.5
Thus, the fare of $(20 - 2.5) = $17.5 will maximize the total fare.
Learn more about Differentiation from:
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Answer:
Step-by-step explanation:
For 
, we have two cases:
Therefore, for 
, we have the following cases:
Solving, we have:
.
Therefore,
Answer:
3
Step-by-step explanation:
Period of a function is the period after which the function attains the same value
in the graph attached with this problem we can see that
f(0)=1
the value of x for which function f(x) attains the value 1 again is at
x=3
f(3)=1
similarly , we see
f(6)=1 , f(9)=1
Hence we see that after every increased value of x by 3 units , we attain the same value of function . hence the period of the function is 3
Quadrent 1 because they are both positive numbers
