IDNLearn.com provides a seamless experience for finding accurate answers. Ask your questions and receive comprehensive and trustworthy answers from our experienced community of professionals.
Sagot :
To determine which function represents the average number of photos taken per passenger as a function of the speed of the ship, we need to follow the relationships outlined in the problem:
1. Duration of the cruise, [tex]\( r \)[/tex]: The duration of the cruise [tex]\( r \)[/tex] is a function of the speed of the ship [tex]\( k \)[/tex]—this relationship is represented by [tex]\( D \)[/tex]. Therefore, the duration of the cruise [tex]\( r \)[/tex] can be expressed as [tex]\( D(k) \)[/tex].
2. Average number of photos taken per passenger, [tex]\( P \)[/tex]: This is a function of the duration of the cruise [tex]\( r \)[/tex], which is expressed as [tex]\( P(r) \)[/tex].
Given that [tex]\( r \)[/tex] is determined by [tex]\( k \)[/tex] through the function [tex]\( D \)[/tex], we need to substitute [tex]\( r \)[/tex] with [tex]\( D(k) \)[/tex] in the function [tex]\( P(r) \)[/tex].
Therefore, the function that represents the average number of photos taken per passenger as a function of the speed of the ship [tex]\( k \)[/tex] is: [tex]\( P(D(k)) \)[/tex].
So the correct answer is:
(A) [tex]\( P(D(k)) \)[/tex]
When referencing the choices given:
- (A) [tex]\( P(D(k)) \)[/tex] correctly represents the average number of photos taken per passenger as a function of the speed of the ship.
- (B) [tex]\( P(S(k)) \)[/tex] is incorrect because [tex]\( S \)[/tex] represents the speed of the ship as a function of the current of the river, not the speed of the ship provided.
- (C) [tex]\( D(P(r)) \)[/tex] and (D) [tex]\( S(P(r)) \)[/tex] are incorrect as they incorrectly relate the functions.
Hence, the answer is:
1
1. Duration of the cruise, [tex]\( r \)[/tex]: The duration of the cruise [tex]\( r \)[/tex] is a function of the speed of the ship [tex]\( k \)[/tex]—this relationship is represented by [tex]\( D \)[/tex]. Therefore, the duration of the cruise [tex]\( r \)[/tex] can be expressed as [tex]\( D(k) \)[/tex].
2. Average number of photos taken per passenger, [tex]\( P \)[/tex]: This is a function of the duration of the cruise [tex]\( r \)[/tex], which is expressed as [tex]\( P(r) \)[/tex].
Given that [tex]\( r \)[/tex] is determined by [tex]\( k \)[/tex] through the function [tex]\( D \)[/tex], we need to substitute [tex]\( r \)[/tex] with [tex]\( D(k) \)[/tex] in the function [tex]\( P(r) \)[/tex].
Therefore, the function that represents the average number of photos taken per passenger as a function of the speed of the ship [tex]\( k \)[/tex] is: [tex]\( P(D(k)) \)[/tex].
So the correct answer is:
(A) [tex]\( P(D(k)) \)[/tex]
When referencing the choices given:
- (A) [tex]\( P(D(k)) \)[/tex] correctly represents the average number of photos taken per passenger as a function of the speed of the ship.
- (B) [tex]\( P(S(k)) \)[/tex] is incorrect because [tex]\( S \)[/tex] represents the speed of the ship as a function of the current of the river, not the speed of the ship provided.
- (C) [tex]\( D(P(r)) \)[/tex] and (D) [tex]\( S(P(r)) \)[/tex] are incorrect as they incorrectly relate the functions.
Hence, the answer is:
1
We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. For dependable and accurate answers, visit IDNLearn.com. Thanks for visiting, and see you next time for more helpful information.