The table below shows the miles driven as a function of gallons of gas used, what does the ordered pair (6,144) represent?
A.
The driver can go 24 miles in 1 hour
B.
The driver can go 144 miles with 6 gallons of gas
C.
The driver can go 6 miles with 144 gallons of gas
D.
The driver can go 144 miles in 6 hours
The correct answer and Explanation is :
The correct answer is:
B. The driver can go 144 miles with 6 gallons of gas.
Explanation:
An ordered pair in a table of miles driven as a function of gallons of gas used is typically written in the form ((x, y)), where:
- (x) represents the input, or the number of gallons of gas used.
- (y) represents the output, or the number of miles driven.
In this case, the ordered pair is ((6, 144)).
- The number 6 represents the number of gallons of gas used.
- The number 144 represents the number of miles driven.
So, this ordered pair means that when the driver uses 6 gallons of gas, they can drive 144 miles.
Why Option B is Correct:
- Option B states that the driver can go 144 miles with 6 gallons of gas, which directly matches the ordered pair given: (6 gallons of gas, 144 miles driven).
Why Other Options Are Incorrect:
- Option A states that the driver can go 24 miles in 1 hour. This refers to speed (miles per hour), which is unrelated to the ordered pair in the question. The pair (6, 144) doesn’t represent time or speed, only gallons of gas used and miles driven.
- Option C states that the driver can go 6 miles with 144 gallons of gas. This incorrectly swaps the values of the ordered pair. The correct interpretation is 6 gallons for 144 miles, not the other way around.
- Option D mentions time (hours), which isn’t relevant here because the ordered pair focuses on fuel usage and distance, not time.
Thus, the correct interpretation of (6, 144) is B.