Final answer:
By isolating the variable s through multiplication and division, we get s=(t-8m)÷-4, which corresponds with option c.
Step-by-step explanation:
To solve the equation t÷8=m−4s for s, we must isolate the variable s on one side of the equation. We'll go through this step by step.
Step 1: Multiply both sides of the original equation by 8 to get rid of the division: 8*(t÷8) = 8*(m - 4s)
Which simplifies to: t = 8m - 32s
Step 2: Now, let's isolate the term containing s by moving all other terms to the other side: t - 8m = -32s
Step 3: Divide both sides by -32 to solve for s: (t - 8m) ÷ -32 = s
Which simplifies to: s = (t - 8m) ÷ -4
This is the equation solved for s, which matches with option c.
Therefore, the correct option to solve for s is c. s=(t-4m)÷-4.