Question

Solve the equation or formula for the variable indicated.

p = sf + r, for t
a) t = (p - r) / s
b) t = p - r / s
c) t = p / s - r
d) t = p + r / s

Answer 1

Given the equation p = sf + r with a presumed typo, the correct solution for t (which should replace f), would be (a) t = (p - r) / s after rearranging the terms and dividing by s.

To solve the equation p = sf + r for the variable t, it seems there might be a typo in the given equation since it doesn't include t. Assuming t is meant to be replaced by f (i.e., the original equation should read p = st + r), we can isolate t by subtracting r from both sides and then dividing by s. The steps are as follows:

1. Subtract r from both sides of the equation to get p - r = st.
2. Divide both sides by s to isolate t, yielding t = (p - r) / s.

In conclusion, the correct expression for t in terms of p, r, and s is option (a).