Solve for T, using inequality

Question

Lashonda is choosing between two exercise routines.

In Routine #1, she does only running, burning 10.5 calories per minute. In Routine #2, she burns 26 calories walking. She then runs at a rate that burns 7.25 calories per minute.

For what amounts of time spent running will Routine #1 burn at least as many calories as Routine #2?

Use t for the number of minutes spent running, and solve your inequality for t

.

Answer 1

From the given info, we can say that Routine #1 burns 10.5t calories, and Routine #2 burns 7.25t + 26 calories.

And we want

10.5t to be equal or greater to 7.25t +26 so we need to solve for t:

10.5t ≥ 7.25t + 26

subtracting 7.25t from both sides, we have

3.25t ≥ 26

dividing both sides by 3.25, we have

t ≥ 8

So Lashonda must spend at least 8 minutes running to burn the same amount of calories in Routine #1 as Routine #2.