Scott purchases food for his dog in large bags and feeds the dog the same amount of dog food each day. The amount of dog food left in the bag at the end of each day can be modelled by an arithmetic sequence. On a particular day, Scott opened a new bag of dog food and fed his dog. By the end of the third day there were 115.5 cups of dog food remaining in the bag and at the end of the eighth day there were 108 cups of dog food remaining in the bag. Find the number of cups of dog food In 2021, Scott spent $625 on dog food. Scott expects that the amount he spends on dog food will increase at an annual rate of 6.4%. (a.i) fed to the dog per day. [3] (a.ii) remaining in the bag at the end of the first day. [1] [2] dog food in 2025. Round your answer to the nearest dollar. [3] (b) Calculate the number of days that Scott can feed his dog with one bag of food. (c) Determine the amount that Scott expects to spend 10 (d.i) Calculate the value of 625 x 1.064(n-1)/ n=1 (d.ii) Describe what the value in part (d) (i) represents in this context. (e) Comment on the appropriateness of modelling this scenario with a geometric sequence. [1] [1] [2]