Problem

Teresa is choosing between two exercise routines. In Routine $\# 1$, she burns 39 calories walking. She then runs at a rate that burns 13.75 calories per minute In Routine \#2, she burns 20 calories walking. She then runs at a rate that burns 18.5 calories per minute. For what amounts of time spent running will Routine \#1 burn fewer calories than Routine \#2? Use $t$ for the number of minutes spent running, and solve your inequality for $t$.

Solution

Step 1 :Set up the inequality: \(39 + 13.75t < 20 + 18.5t\)

Step 2 :Subtract 13.75t from both sides: \(39 < 20 + 4.75t\)

Step 3 :Subtract 20 from both sides: \(19 < 4.75t\)

Step 4 :Divide both sides by 4.75: \(t > 4\)

Step 5 :\(\boxed{t > 4}\) minutes spent running, Routine #1 will burn fewer calories than Routine #2.

From Solvely APP
Source: https://solvelyapp.com/problems/22598/

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