Alex and his father took a taxi cab that charges $2.60 per mile plus $1.50 for each passenger, and they paid a total of $18.60.
Which statement is true about the solution b = 6 ?
• The solution b = 6 gives the total number of people in the taxi.
• The solution b = 6 gives the number of kilometers the taxi traveled.
• The solution 6 = 6 gives the cost in dollars per mile for this specific taxi ride.
• The solution 6 = 6 gives the number of miles the taxi traveled.
The correct statement is: "The solution 6 = 6 gives the number of miles the taxi traveled."
The correct statement is: The solution b = 6 gives the total number of people in the taxi.
To find the statement that is true about the solution b = 6, we need to understand what 'b' represents in the given information.
In the given information about the taxi fare, it states that the taxi charges $1.50 for each passenger. Therefore, 'b' refers to the number of passengers in the taxi.
Now, let's evaluate each statement:
1. The solution b = 6 gives the total number of people in the taxi.
This statement is true because 'b' represents the number of passengers. So, if b = 6, it means there were a total of 6 people in the taxi.
2. The solution b = 6 gives the number of kilometers the taxi traveled.
This statement is not true because there is no information given about the number of kilometers or distance traveled by the taxi. Therefore, we cannot determine if b = 6 represents the number of kilometers.
3. The solution 6 = 6 gives the cost in dollars per mile for this specific taxi ride.
This statement is not accurate because the given information states that the taxi charges $2.60 per mile. Therefore, the cost per mile is fixed at $2.60 and not dependent on the number of miles traveled or any solutions.
4. The solution 6 = 6 gives the number of miles the taxi traveled.
This statement is not true because the given information does not provide any details about the number of miles the taxi traveled. Therefore, we cannot determine if b = 6 represents the number of miles.
In conclusion, the statement that is true about the solution b = 6 is: The solution b = 6 gives the total number of people in the taxi.