Final answer:
The input x that yields the output of -15 for the equation y = 7/8 + x is -127/8.
Step-by-step explanation:
To find the input that yields the output of -15 for the equation y = 7/8 + x, we need to solve the equation for x when y is -15. Start by substituting -15 for y in the equation:
-15 = 7/8 + x
Next, isolate x by subtracting 7/8 from both sides:
-15 - 7/8 = x
Convert -15 to an improper fraction with a common denominator of 8:
-120/8 - 7/8 = x
Now, combine the fractions:
-120/8 - 7/8 = -127/8
So, x equals -127/8. Hence, the input that yields the output of -15 is -127/8.