The significance of 160,000 in the function is the initial population at the time of the estimation.
The correct option is (C)
<h3>What is data?</h3>A collection of facts, such as numbers, words, measurements, observations or even just descriptions of things.
Given:
As per the table attached below:
F(x) signify the total population when the time was x hour.
So, 160,000 in the function signifies that the population at starting i.e., initial point.
Learn more about this concept here:
#SPJ1
Function transformation involves changing the form of a function
The function g(x) is
The function is given as:
g(x) is an exponential function that passes through points (-2,2) and (-1,4).
An exponential function is represented as:
At point (-2,2), we have:
At point (-1,4), we have:
Divide both equations
Simplify
Apply law of indices
Rewrite as:
Substitute 2 for b in
This gives
Multiply both sides by 4
Substitute 8 for (a) and 2 for (b) in
Express as a function
Hence, the function g(x) is
Read more about exponential functions at:
a) Number of seats expected to be empty = 18
b) Number of passengers expected to show up for the flight = 291
Step-by-step explanation:
Step 1:
Probability that a passenger will not show up for the flight = 6%
Total capacity of the flight when fully booked = 300
Step 2 :
a)
Number of seats expected to be empty = 6% of 300 = × 300 = 18
b)
Number of passengers over booked = 10
Probability that a passenger will turn up for a flight = 100 - 6% = 94%
Number of passengers when the flight is overbooked = 300 + 10 = 310
Hence number of passengers who are expected to show up for the flight = 94% of 310 = × 310 = 291.4 = 291 (rounded of whole number as this represents number of passengers)
Step 3 :
Answer :
a) Number of seats expected to be empty = 18
b) Number of passengers expected to show up for flight = 291