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.
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Answer:
If Carley ran the 400 meter run in a total of 55.7 seconds and she beat the record by 1.3 seconds, you would add 55.7 and 1.3
55.7+1.3= 57 seconds
The past school record for the girls 400 meter run was 57 seconds
Hope this helps ;)
Answer:
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
Let the starting number be x, the two consecutive numbers after x is gonna be x+1 and x+2.
If the sum of these three numbers is 267 then:
x+(x+1)+(x+2)=267
Solve
3x+3=267
3x=267-3
3x=264
x=264/3
x=88
x+1=89
x+2=90
Your three consecutive numbers are 88, 89, and 90.
The largest one of them is 90.
Answer:
Step-by-step explanation:
The answer for this is
See the red line in the graph which says f(X)
See the blue line in the graph which says g(X)
So these are the variables which come under the example of exponential functions
And the answer is option B. Both graphs are exponential functions.
