A 5,7,11
B 3
C 17,31
D 61,2
Might be wrong
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:
brainly.com/question/24062595
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Somebody can estimate the length of a book by using a ruler and rounding it to the nearest whole number.
Answer:
= 2n²
Step-by-step explanation:
From the sequence 2,8,18,32,50
The difference between each numbers are
: 6, 10, 14, 18
The difference between the second sequence is 4.
Therefore the nth term of the sequence is 2n²