Weight on the moon y varies directly with weight on Earth x. A person who weighs 100 lb on Earth weighs 16.6 lb on the moon. What is an equation that relates weight on Earth x and weight on the moon y ? What is the graph of this equation?
The equation that relates weight on Earth x and weight on the moon y is y = kx, where k is the constant of variation.
To find the value of k, we can use the given information that a person who weighs 100 lb on Earth weighs 16.6 lb on the moon. Plugging these values into the equation, we have 16.6 = k * 100. Solving for k, we get k = 0.166.
Therefore, the equation that relates weight on Earth x and weight on the moon y is y = 0.166x.
The graph of this equation is a straight line with a positive slope. It passes through the origin (0,0) and has a steepness of 0.166. As x increases, y will increase proportionally, following the line.