Question

As the point (2, 4) moves, the y-coordinate is increasing at a rate of 3 cm/s. How fast is the x-coordinate of the point changing at that instant?

Answer 1

The x-coordinate of the point is changing at a rate of 1/3 cm/s.

Step-by-step explanation:

To find how fast the x-coordinate of the point is changing, we need to consider the relationship between the x and y coordinates of the point. Since the y-coordinate is increasing at a rate of 3 cm/s, we can use the concept of slope to find the rate of change of the x-coordinate.

The slope represents the rate of change of y with respect to x. In this case, the slope is 3 cm/s, which means that for every 1 cm increase in y, there is a corresponding 1/3 cm increase in x. Therefore, the x-coordinate is changing at a rate of 1/3 cm/s.