Lauren is to start training in order to run a marathon.
Each week she will run a number of miles according to the formula
where is the number of miles to be run in week .
Work out how far Lauren will run in weeks 1, 2 and 3.
Work out how far Lauren will run in her 10th week of training.
Lauren tends to train for 10 weeks.
Find the total number of miles Lauren will run across all 10 weeks of her training schedule.
Explain why the model would become unrealistic for large values of for example for the training schedule of an elite athlete.
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