Final answer:
The values of a, b, c, and d are determined by substituting the x-values into the equation y = 9 + 3x and solving for y. For the given x-values of 3, 0, and 1, the y-values are computed as 18, 9, and 12 respectively. To find the x-value when y = 2, the equation is solved to find x = -3.
Step-by-step explanation:
The student is asked to find the values of a, b, c, and d for an incomplete table based on the linear equation y = 9 + 3x. To solve for these variables, each given x-value from the table is substituted into the equation, and the corresponding y-value is computed. For example, if x = a, we solve y = 9 + 3a to find the value of a. We perform similar substitutions for b, c, and d to complete the table.
- To compute a, for x = 3, y = 9 + 3(3) = 9 + 9 = 18.
- For b, for x = 0, y = 9 + 3(0) = 9.
- To find c, for x = 1, y = 9 + 3(1) = 9 + 3 = 12.
- For d, if y = 2, then 2 = 9 + 3x, which gives x = ∑3.