Question

A function follows the rule y = -75 - 5x. When the function's output is 25, the equation is 25 = -75 - 5x.What is the function input when the output is 25?

A. 10
B. -10
C. -20
D. 20

Answer 1

The function input when the output is 25 for the function y = -75 - 5x is -20, which is option C.

Step-by-step explanation:

To find the function input when the output is 25 for the function rule y = -75 - 5x, we set y to 25 and solve for x:

25 = -75 - 5x

Add 75 to both sides:

25 + 75 = -5x

100 = -5x

Divide both sides by -5 to isolate x:

x = 100 / -5

x = -20

Therefore, the function input when the output is 25 is -20, which corresponds to option C.