Question

The number of passengers flying to Florida on two airplanes is modeled by the expression . Airplane 1 carries h passengers and airplane 2 carries k passengers. Airplane 1 makes P trips, while airplane 2 makes Q trips. Which TWO statements are correct? Responses A hP represents airplane 1.hP represents airplane 1. B kQ represents airplane 2.kQ represents airplane 2. C Airplane 1 can carry more passengers than airplane 2.Airplane 1 can carry more passengers than airplane 2. D hP + kQ represents total trips made by airplane 1 and airplane 2.hP + kQ represents total trips made by airplane 1 and airplane 2. E P + Q represents total number of passengers carried by airplane 1 and airplane 2.

Answer 1

Statements A and B are correct; A states that hP represents the total passengers carried by airplane 1, and B states that kQ represents the total passengers carried by airplane 2. Statements C, D, and E are not necessarily correct or are incorrectly describing the expressions.

Step-by-step explanation:

The number of passengers flying to Florida on two airplanes is modeled by the expression wherein airplane 1 carries h passengers and makes P trips, while airplane 2 carries k passengers and makes Q trips.

To answer the question, we can identify the correct statements:

• hP represents the total number of passengers carried by airplane 1 after making P trips. Response A is correct.
• kQ represents the total number of passengers carried by airplane 2 after making Q trips. Response B is correct.

Statements C and E are not necessarily correct because we cannot determine if airplane 1 can carry more passengers than airplane 2 or if P + Q is the sum of passengers as no expression for the sum of passengers was provided. Statement D is incorrectly stating the expression represents total trips rather than the total number of passengers carried by both airplanes.