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:
Divide them by the same number
Step-by-step explanation:
14/2=7
10/2= 5
y7/y5
So the given angles are supplementary (add to 180). You take the two and add them. 21x+5+37x+1. This gets set to equal 180. 58x+6=180. Subtract 6 from both then divide by 58. You get x=3
Answer:
(61/7, -47/7)
Step-by-step explanation:
Given: y=2/7 -7
y=-x+2
Rewrite the top equation ( y=2/7 -7
y = -47/7
y = -x + 2
Because both equations are equal to y, we can rewrite it again.
-47/7 = -x + 2
Add x to both sides
x + (-47/7) = 2
Add 47/7 to both sides.
x = 47/7 + 2/1
x = 61/7
As stated in the beginning, y is equal to -47/7
Hope you understand!
-105
Multiply first, then subtract, then add.
