Rearrange formulas to isolate a chosen quantity, including formulas with quadratic terms.
Rearrange a multiplicative formula to isolate a chosen variable, then evaluate it
Problem
Solve \(d=rt\) for \(t\), then evaluate the rearranged formula for \(d=180\) and \(r=45\). Report both the symbolic rule and the resulting value.
Big Picture
What this problem is really about
This asks for a symbolic rearrangement and then a numerical evaluation, so the order matters. We’ll first isolate t by dividing by the nonzero rate, then substitute the given distance and rate into that finished rule, simplify the quotient, and check the value in the original product equation.
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