Final answer:
Using the equation k = 6x + 100 and substituting -5 for x, we calculate the output k to be 70.
Step-by-step explanation:
To find the output (k) for the given input (x = -5) in the equation k = 6x + 100, substitute -5 for x. Begin with the expression k = 6(-5) + 100. First, multiply 6 by -5, yielding -30. Next, add this result to 100, resulting in k = -30 + 100. Finally, combine the terms, leading to k = 70.
Consequently, when x is -5, the output k is 70. This process involves step-by-step substitution and calculation, demonstrating how the equation transforms the input into the corresponding output based on the defined relationship between variables.