Final answer:
The constant of proportionality, based on Olivia being able to drive 375 miles with 25 gallons of gas, is found by dividing the total miles by the total gallons of gas, yielding 15 miles per gallon.
Step-by-step explanation:
The question asked is: Olivia can drive a total of 375 miles on one full tank of gas, which is 25 gallons. Based on this information, what is the constant of proportionality? The constant of proportionality is the unit rate or ratio in problems involving proportional relationships. In this case, we can find the constant of proportionality by dividing the total number of miles Olivia can drive, which is 375 miles, by the number of gallons her tank holds, which is 25 gallons.
- Calculate the miles per gallon by dividing 375 miles by 25 gallons.
- Miles per gallon = 375 miles / 25 gallons = 15 miles per gallon.
Therefore, the constant of proportionality for Olivia's car is 15 miles per gallon, which corresponds to option A).