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:
The answer would be 15 cookies.
Step-by-step explanation:
Cookies = 24 cents each
Pop = 45 cents each
<span>(u-9)6
= 6u - 54 ...expanded by using distributive property
hope that helps</span>
Answer:
9
Step-by-step explanation:
Sean and Greg share a 24-ounce bucket of clay
Sean uses 3/8 of the bucket
= 3/8 ×24
= 9 ounce
Greg uses 1/4 if the bucket
= 1/4 ×24
= 6 ounce
= 9+6
= 15 ounce
Therefore the quantity left in the bucket can be calculated as follows
= 24-15
= 9
Hence 9 ounces are left in the bucket
Answer:
The groups walking speed is
or 
Step-by-step explanation:
we know that
To find the speed divide the distance by the time
so

Convert to mixed number
