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Mrrafil [7]
3 years ago
5

An airline uses the function below to calculate the profits earned from a 1,980-mile flight of a commercial jet that has a maxim

um seating ca
200 passengers. In the function, x represents the number of passengers on board the plane.
P(*) = $3493 - $39,600
What is the domain of P(x)?
A. all non-negative integers less than or equal to 200
B. all non-negative integers greater than or equal to 113.47
C. all real numbers
D. all integers less than or equal to 200
A
Reset
Submit

Mathematics
1 answer:
stellarik [79]3 years ago
3 0

3514 1404 393

Answer:

  A. non-negative integers ≤ 200

Step-by-step explanation:

The number of passengers is a whole number (non-negative integer) that does not exceed 200. These are the values for which the function is defined.

The domain is non-negative integers less than or equal to 200.

__

You cannot have negative or fractional passengers, but you can have zero passengers.  For 114 or more passengers, the airline will make a profit. There is no requirement for the profit to be positive.

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Step by step solution:
I started by making an equation in slope intercept form- I found the slope, 28/17, with the points (4, 17) and (12.5, 31). Then I found the y intercept, 1, with the point (4, 17). So the equation is y=28/17x+1. Then I just plugged 18.5 where the x is and solved for y

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Keep in mind that 1036/34 is not exactly 30.47 but that 30.47 was rounded to the nearest hundredth

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