Fill in the missing numbers to complete the linear equation that gives the rule for this table.
x y
5 32
6 48
7 64
8 80
The rule for the table can be found by looking for a pattern in the y-values when the x-values increase by 1 each time.
We can see that as the x-value increases by 1, the y-value increases by 16. Therefore, the slope (or rate of change) in this linear equation is 16.
The missing numbers in the table can be found by applying this rate of change to the given x-values.
When x = 5, y = 32. Adding the slope (16) to this y-value gives us the next y-value:
y = 32 + 16 = 48.
Therefore, when x = 6, y = 48.
Continuing the pattern, the missing numbers in the table are:
x = 5, y = 32
x = 6, y = 48
x = 7, y = 64
x = 8, y = 80