Final answer:
To determine if the equation Y = 9X + 1/2 is proportional or nonproportional, compare the constant rate of change by choosing different values for X and calculating the corresponding values for Y.
Step-by-step explanation:
To determine if the equation Y = 9X + 1/2 is proportional or nonproportional, we need to compare the constant rate of change. In a proportional relationship, the ratio of Y to X remains constant. However, in a nonproportional relationship, the ratio of Y to X varies.
To find the constant rate of change, we can choose different values for X and calculate the corresponding values for Y. If the ratios of Y to X are always the same, the equation is proportional. If the ratios vary, the equation is nonproportional.
For example, if we choose X = 1, the equation becomes Y = 9(1) + 1/2 = 9 1/2. If we choose X = 2, the equation becomes Y = 9(2) + 1/2 = 19 1/2. The ratio of Y to X for both cases is 9 1/2. Therefore, the equation Y = 9X + 1/2 is proportional.
Learn more about proportional and nonproportional relationships