Final answer:
The output of a linear function with a slope of 6/11 decreases by 18 units when the input decreases by 33 units.
Step-by-step explanation:
If the slope of a linear function is m = 6/11, it indicates how much the output (dependent variable) changes for a unit change in the input (independent variable).
In this case, a unit increase in input results in an output increase of 6/11 units. Conversely, if the input is decreased by 33 units, we can calculate the change in output by multiplying the slope by the change in input.
To find the total decrease in output when the input is decreased by 33 units, we calculate (6/11) * (-33), which simplifies to:
(6/11) * (-33) = -18
Thus, the output decreases by 18 units when the input decreases by 33 units.