Final answer:
To calculate the value of y for x = 5 and x = 5.1 in the equation y = 10x, you substitute the given values of x into the equation and solve for y. The value of y increases from 50 to 51, indicating the increase in y for the change in x is 1.
Step-by-step explanation:
The question involves calculating the value of y at two different values of x given the equation y = 10x, and determining the increase in y for a small increase in x. When x = 5, we substitute into the equation to get y = 10 * 5, which equals 50. For x = 5.1, we calculate y = 10 * 5.1, giving us 51. The increase in y for this small change in x from 5 to 5.1 is 51 - 50 = 1.
Plotting this change on a graph would show a line with a positive slope, increasing with x. When modeling real-world phenomena, using such equations and observing the behavior of the graph can be incredibly useful for understanding the relationships between variables.