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 $t$ .

Answer

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Answer

$t > 4$ minutes spent running, Routine #1 will burn fewer calories than Routine #2.

Steps

Step 1 ：Set up the inequality: $39 + 13.75 t < 20 + 18.5 t$

Step 2 ：Subtract 13.75t from both sides: $39 < 20 + 4.75 t$

Step 3 ：Subtract 20 from both sides: $19 < 4.75 t$

Step 4 ：Divide both sides by 4.75: $t > 4$

Step 5 ： $t > 4$ minutes spent running, Routine #1 will burn fewer calories than Routine #2.