Jose is choosing between two exercise routines.

Question

In Routine #1, he burns 17 calories walking. He then runs at a rate that burns 4.25 calories per minute.
In Routine #2, he does only running, burning 8.5 calories per minute.
For what amounts of time spent running will Routine #1 burn more calories than Routine #2?
Use for the number of minutes spent running, and solve your inequality for t.

Answer 1

Let's set up the inequality to represent the problem:

17 + 4.25t > 8.5t

Simplifying the inequality:

17 > 8.5t - 4.25t

17 > 4.25t

To isolate t, divide both sides of the inequality by 4.25:

4 > t

The inequality is now:

t < 4

Therefore, for any amount of time spent running (t) less than 4 minutes, Routine #1 will burn more calories than Routine #2.