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
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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.
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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.