Question

Austin is choosing between two exercise routines. In Routine #1, he burns 22 calories walking. He then runs at a rate that burns 15.5 calories per minute. In Routine #2, he burns 45 calories walking. He then runs at a rate that burns 10.9 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 1

Austin is choosing between two exercise routines. In Routine #1, he burns 22 calories walking. He then runs at a rate that burns 15.5 calories per minute. In Routine #2, he burns 45 calories walking. He then runs at a rate that burns 10.9 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.​

Let

t -------> the number of minutes spent running

Routine #1

15.5t+22

Routine #2

10.9t+45

we have the inequality

15.5t+22 < 10.9t+45

solve for t

15.5t-10.9t < 45-22

4.6t < 23

t < 5 minutes

or

t< 23/4.6

t< 230/46

t< 115/23 min

the answer is

For less than 5 minutes