Final answer:
When the input is 5, equation A (y = 9x) gives the greatest output, which is 45. Hence, the answer is option a) A.
Step-by-step explanation:
The question asks which of the three given equations, when the input is 5, will produce the greatest output. To find the answer, we need to calculate the value of y for each equation with x equal to 5.
- For equation A (y = 9x), when x is 5, y will be 9*5 = 45.
- For equation B (x + 9 = y), when x is 5, y will similarly be 5 + 9 = 14.
- For equation C (8x = y), when x is 5, y will be 8*5 = 40.
Comparing the values of y for each equation, we see that A produces the greatest output of 45. Therefore, the answer to the question is a) A.