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Answer :
Gavin will burn 570 calories on the eighth day of his running workout by running for 19 minutes at a rate of 30 calories per minute.
The student's question pertains to calculating the number of calories burned on a specific day of Gavin's running workout. Since Gavin runs for five minutes on the first day and increases his running time by two minutes each subsequent day, we can determine the duration he runs on any given day using an arithmetic sequence. For the eighth day, we start with the five minutes on day one and add seven increments of two minutes each:
Duration on day 8 = 5 minutes + (7 imes 2 minutes) = 5 minutes + 14 minutes = 19 minutes.
To calculate the calories burned on the eighth day, we multiply the duration in minutes by the calories burned per minute:
Calories burned on day 8 = 19 minutes times 30 calories/minute = 570 calories.
Therefore, Gavin will burn 570 calories on the eighth day of his running workout.
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