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
#SPJ1
Answer:
65kg
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
There are 3 feet in 1 yard so 6 yards would be 6x3 :
6 x 3 = 18
the giraffe was 18 feet tall
hope this helped
Answer:
A, B, D and F.
Step-by-step explanation:
Rin spends $20 every week on drum lessons.
If:
d = total amount of dollars Rin spends
w = number of weeks
Then: d=20w
w is the independent variable while d is the dependent variable. A change in w will lead to a change in d. Therefore:
(A)The independent variable causes a change in the dependent variable.
(B)The equation is d = 20w.
From the equation: d=20w
When w=1, d=$20
When w=2, d=$40
When w=3, d=$60
When w=4, d=$80
This tallys with the values in Option F.
Therefore:
(D)As the number of weeks increases, the total dollars Rin spends increases.
The correct options are: A, B, D and F.
