Question

Ahmad is choosing between two exercise routines.In Routine #1, he burns 20 calories walking. He then runs at a rate that burns 10.5 calories per minute.In Routine #2, he burns 46 calories walking. He then runs at a rate that burns 5.3 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.0ロロロメロOSDDADxХ5?ExplanationCheck

Answer 1

Let t for the number of minutes spent running

In Routine #1, he burns 20 calories walking. He then runs at a rate that burns 10.5 calories per minute.

This can be represented as 20 + 10.5t

In Routine #2, he burns 46 calories walking. He then runs at a rate that burns 5.3 calories per minute.

This can be represented as 46 + 5.3t

The required inequality is

`\begin{gathered} 20+10.5t<46+5.3t \\ 10.5t-5.3t+20<46+5.3t-5.3t \\ 5.2t+20<46 \\ 5.2t+20-20<46-20 \\ 5.2t<26 \\ (5.2t)/(5.2)<(26)/(5.2) \\ t<5 \end{gathered}`

The answer is 5 minutes