algebra - inequalities and more

Question

Ahmad is choosing between two exercise routines.

In Routine #1, he burns 50 calories walking. He then runs at a rate that burns 12.9

calories per minute. In Routine #2, he burns 22 calories walking. He 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 1

Two linear equations to solve are:

a) y=12.9t + 50

b) y=18.5t + 22

From 0-5 minutes, b) burns less calories, but above 5 minutes, a) burns less calories.

Answer 2

50 + 12.9t < 22 + 18.5t

Can you solve for t and answer?