Final answer:
The function with the smallest rate of change is A. $0.75 per mile.
Step-by-step explanation:
The question is asking which travel of values represents linear functions with smaller rates of change than the given function. To compare the rates of change between linear functions, we need to compare the slopes. The slope is the rate of change, which is the change in the dependent variable divided by the change in the independent variable. In this case, the function has a slope of $0.50 per mile.
To find the linear functions with smaller rates of change, we need to compare the values given: $0.75 per mile, $0.85 per mile, $0.95 per mile, and $1.05 per mile. Since the slope of the given function is $0.50 per mile, any function with a slope less than $0.50 per mile will have a smaller rate of change. Therefore, the function with the smallest rate of change is A. $0.75 per mile.