Final answer:
The function g(m) representing gas usage as a function of miles driven is most likely (a) linear function, as gas consumption is typically directly proportional to distance traveled.
Step-by-step explanation:
The function g(m) that represents the amount of gas in gallons used for driving m miles is most likely a linear function. Typically, gas consumption is directly proportional to the distance traveled. This means if you drive twice as far, you will use approximately twice as much gas, assuming a constant rate of consumption (miles per gallon). This is characteristic of a linear relationship.
Considering other functions, a polynomial function may include powers of m which isn't the case here, a logarithmic function would imply that gas usage slows down as you drive more miles, and an exponential function would suggest that gas usage speeds up as you drive more miles, both of which do not accurately represent typical gas consumption behavior in regular conditions.
For other related situations: (c) the number of gallons necessary to fill an automobile gas tank would be a fixed amount; (d) the number of centimeters in 2 meters is a simple conversion (200 cm) which is a constant; (e) the mass of a textbook is a fixed mass; and (f) the time required to drive from San Francisco to Kansas City at an average speed of 53 mi/h can be calculated using a linear function of distance divided by speed.