Yutaka enjoys running. For every kilometer he runs, he burns 65 calories. He wrote this equation to find how many calories he burns \( (c) \) when he runs some number of kilometers \( (k) \) : \( 65 k=c \) Identify the dependent and independent variables. Calories burned \( (c) \) Kilometers ran \( (k) \)

The independent variable in this scenario is the kilometers run \( (k) \) because Yutaka can choose how far he wants to run, and this directly influences the outcome. The dependent variable is the calories burned \( (c) \), as it relies on the distance he decides to run; more kilometers mean more calories burned according to the equation. To add an extra layer of fun, let's consider that if Yutaka decides to run a marathon, which is approximately 42 kilometers, he would burn around 2,730 calories! That's like running off a whole pizza. On the flip side, watch out for common mistakes—a frequent one is forgetting to multiply the distance by 65 correctly or confusing the units. Always double-check your math to ensure your calorie count stays as fit as your running routine!