Final answer:
P(20) in this context is the representation of the profit earned from 20 passengers, which is $25. The correct option is b) 20 passengers, P(20) = $25. The function P(x) maps the number of passengers to the corresponding profit earned.
Step-by-step explanation:
P(20) represents the profit earned based on 20 passengers, as indicated by the notation P(20). Hence, the correct completion of the sentence based on the options provided would be:
b) 20 passengers, P(20) = $25
This is because the function P(x) seems to represent the profit made from x number of passengers. Each of the other options (a, c, d) incorrectly associates P(20), which designates profit for 20 passengers, with a different number of passengers than 20.
Understanding functions like P(x) is crucial in mathematics as they represent relationships between variables. In this case, P(x) models the relationship between the number of passengers (x) and the profit (P) made. Such functions are common when analyzing business and economic scenarios where the profit is a key outcome measure.