Final answer:
By comparing the calories burned as a function of time spent running in both routines and setting up an inequality, we find that Ahmad will burn fewer calories on Routine #1 when he runs for more than 5 minutes. Since this result does not match any of the options provided, double-checking of values and phrasing is advised.
Step-by-step explanation:
To find when Routine #1 will burn fewer calories than Routine #2, we set up an inequality to compare the total calories burned in each routine as a function of time, t, spent running.
In Routine #1, Ahmad burns 22 calories walking and then burns 15.5 calories per minute while running. So, the total calories burned in Routine #1 can be represented as 22 + 15.5t.
In Routine #2, he burns 48 calories walking and 10.3 calories per minute while running. This gives us a total calorie burn of 48 + 10.3t for Routine #2.
To find when Routine #1 burns fewer calories, we write the inequality:
22 + 15.5t < 48 + 10.3t.
Subtracting 10.3t from both sides:
5.2t < 26.
Dividing both sides by 5.2 gives:
t > 5.
So, Ahmad will burn fewer calories on Routine #1 compared to Routine #2 when he runs for more than 5 minutes.
Since this answer does not match any of the provided options (A, B, C, D), there might be a mistake in the question's data, or my interpretation may not match the question's intent. If this is a homework or test question, you should double-check the values and question's phrasing with your teacher for clarification.