Final answer:
The provided equation, 4r + 75 = 1, is a linear equation. After solving for r, we find that r = -18.5. However, without an additional relationship between variables r and s, none of the options (A, B, C, D) are equivalent to the original equation.
Step-by-step explanation:
The equation provided, 4r + 75 = 1, is a linear equation that we are tasked to rewrite in terms of another variable to find an equivalent form. To find an equivalent form, we should isolate the variable r.
To do this, subtract 75 from both sides of the equation:
- 4r + 75 - 75 = 1 - 75
- 4r = -74
Now, divide both sides by 4 to solve for r:
- 4r / 4 = -74 / 4
- r = -18.5
However, this doesn't directly provide us with an equivalent form involving another variable like s, nor does it reflect any of the options provided (A, B, C, D). Thus, the question seems to be misstated, as the given equation does not equivalently transform into the options presented unless there is an additional relationship between r and s that is not given.