Final answer:
To fill in the table for the equation y = 27 - 3x, substitute each x value into the equation to find y. The resulting y values, which decrease as x increases, are 24, 21, 18, 15, and 12 for x values of 1 through 5, respectively.
Step-by-step explanation:
The student is asked to fill in a table for a given function, which is a linear equation y = 27 - 3x. The task is to calculate the corresponding y values for given x values. The process to complete the table involves substituting each x value into the equation and simplifying to find the corresponding y value. Here's how you can calculate the values step by step:
- For x = 1: y = 27 - 3(1) = 24
- For x = 2: y = 27 - 3(2) = 21
- For x = 3: y = 27 - 3(3) = 18
- For x = 4: y = 27 - 3(4) = 15
- For x = 5: y = 27 - 3(5) = 12
Each pair of x and y values represents a point on the graph of the line represented by the equation y = 27 - 3x. By plotting these points, one can see the dependence of y on x and how the value of y decreases as x increases.