A sports utility vehicle travels 386.4 miles on 14 gallons of gas. Which of the following represents the constant of proportionality in miles per gallon?

Rationale

The constant of proportionality in miles per gallon for the sports utility vehicle is 27.6.

This is determined by dividing the total distance traveled, which is 386.4 miles, by the total quantity of gas consumed, which is 14 gallons. The resulting value represents the vehicle's fuel efficiency in terms of miles traveled per gallon of gas.

A (5,409.60) YOUR ANSWER

This number is not the correct constant of proportionality because it is significantly larger than the total distance traveled by the vehicle. It clearly does not reflect the ratio of miles traveled to gallons of gas consumed.

B (13.8) YOUR ANSWER

This number is not the correct constant of proportionality because it is approximately half the correct value. This would imply that the vehicle traveled only half the stated distance on 14 gallons of gas, which contradicts the information provided.

C (372.4) YOUR ANSWER

This number is not the correct constant of proportionality because it is nearly the same as the total distance traveled by the vehicle. This would suggest that the vehicle consumed only one gallon of gas to travel 386.4 miles, which is inconsistent with the given information.

D (27.6) CORRECT

This is the correct constant of proportionality. It is obtained by dividing the total distance of 386.4 miles by the total quantity of gas consumed, which is 14 gallons. Thus, the vehicle, on average, travels 27.6 miles for every gallon of gas it consumes.

Conclusion

The constant of proportionality, or the ratio of the total distance traveled to the quantity of gas consumed, represents the vehicle's fuel efficiency. In this case, the sports utility vehicle travels an average of 27.6 miles per gallon of gas, making this the correct constant of proportionality. The other choices do not accurately reflect this ratio based on the information provided.

A sports utility vehicle travels 386.4 miles on 14 gallons of gas. Which of the following represents the constant of proportionality in miles per gallon?

The constant of proportionality in miles per gallon for the sports utility vehicle is 27.6.

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