Question

Kim burns 85 calories per hour hiking. If Kim hikes three hours, how many calories will she burn? Let h represent the number of hours Kim hikes. Identify the independent and dependent variables of this situation. Write the function in function notation, and use the function to solve the problem.

Solution:
Dependent variable: Calories burned
Independent variable: Hours hiked
Function notation: C(h) = 85h
To find the calories burned in 3 hours, C(3) = 85 * 3 = 255 calories.

Answer 1

In mathematics, when calculating the calories burned during hiking, the calories burned is the dependent variable, the hours hiked is the independent variable, and the function C(h) = 85h represents this relationship. For example, hiking for three hours would result in 255 calories burned.

Step-by-step explanation:

The student's question involves determining the total calories burned while hiking given a specific rate of calorie burn per hour and the total hours hiked. The dependent variable is the number of calories burned, and the independent variable is the number of hours hiked. Using function notation, we express the relationship between these variables as C(h) = 85h.

For Kim, who hikes for three hours, we calculate the calories burned as:

C(3) = 85 * 3 = 255 calories.

This calculation tells us that Kim will burn 255 calories after hiking for three hours.