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:
35 dollars
Step-by-step explanation:333-18=315 dollars
315/9=35 dollars for each book
Make a ratio, then cross multiply.
4/30=x/48
30x=4x48
30x=192
x=6.4
Answer:
Part 1) The exponential function is equal to 
Part 2) The population in 2010 was 
Step-by-step explanation:
Part 1) Write an exponential decay function that models this situation
we know that
In this problem we have a exponential function of the form
where
y ----> the fish population of Lake Collins since 2004
x ----> the time in years
a is the initial value
b is the base
we have
substitute
----> exponential function that represent this scenario
Part 2) Find the population in 2010
we have
so
For 
substitute
Total no. of outcomes when two dice are rolled = 36
No. of outcome when 6 will be on both dice = 1
Probability of rolling two 6's = 1/36
Hope this helps!
