1. **State the problem:**
Marcy burns 80% of the calories walking compared to jogging. We want to write a function for calories burned walking as a function of calories burned jogging, and find how many calories she burns walking if she burns 120 calories jogging.
2. **Write the function:**
Let $J$ be the calories burned jogging.
Let $W$ be the calories burned walking.
Since walking burns 80% of jogging calories, the function is:
$$W = 0.8J$$
3. **Calculate the calories burned walking when jogging burns 120 calories:**
Substitute $J = 120$:
$$W = 0.8 \times 120$$
$$W = 96$$
4. **Interpretation:**
Marcy burns 96 calories walking if she burns 120 calories jogging.
**Final answer:**
$$W = 0.8J$$
$$W = 96 \text{ calories when } J = 120$$
Calories Burned Edd3F5
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.