To solve the problem, we first analyze the relationship between the number of gym visits ((x)) and calories burned ((y)) using the given data points.

Step 1: Identify the pattern

Assuming the data points are (1, 200), (2, 400), (3, 600), etc., we observe that each increase in (x) by 1 leads to an increase in (y) by 200. This indicates a linear relationship.

Step 2: Determine the linear equation

The slope ((m)) of the line is calculated as:
[m = \frac{\Delta y}{\Delta x} = \frac{400-200}{2-1} = 200]

Since the line passes through the origin ((x=0, y=0)), the y-intercept ((b)) is 0.

Thus, the equation is:
[y = 200x]

Answer: The number of calories burned is 200 times the number of gym visits, so (y = 200x).

(\boxed{y=200x}) (or if the question asks for the constant rate, (\boxed{200}))

Assuming the question expects the constant multiplier, the answer is (\boxed{200}).

(\boxed{200})

作者声明:本文包含人工智能生成内容。