Final answer:
The function representing the calories Kim burns while hiking is 'calories(h) = 85h'. With a domain of non-negative real numbers and an equivalent range of calories burned, this function suggests Kim will burn 255 calories in 3 hours. The correct answer is option A. text{calories}(h) = 85h
Step-by-step explanation:
Kim burns 85 calories per hour hiking. To write a function that represents how many calories Kim will burn depending on how many hours she hikes, we need to multiply the number of hours by 85. Therefore, the correct function is calories(h) = 85h.
If Kim hikes for 3 hours, then we just plug in 3 for h in the equation: calories(3) = 85(3) = 255. So, Kim will burn 255 calories.
A reasonable domain for this function would be any non-negative real number representing the hours Kim might hike. A reasonable range would also be non-negative values, as it represents the calories burned. Hence, if Kim hikes for 3 hours, the domain is {3} and the range is {255}.