The equation y = mx + c signifies a linear relationship. In the lux graph, the interval from 0 to 5,000 lux best aligns with this equation, depicting a consistent slope and y-intercept. (option A)
The equation (y = mx + c) represents a linear relationship where (y) is the dependent variable, (x) is the independent variable, (m) is the slope, and (c) is the y-intercept. In the given options, the range from 0 to 5,000 lux is a suitable representation for this equation.
In this interval, the lux values exhibit a linear increase or decrease, fitting the form of a straight line on a graph. This suggests a consistent slope (m) and a y-intercept (c), aligning with the characteristics of a linear equation, making option A the appropriate choice for the representation of (y = mx + c).