Developing an Equation from Average Costs The America Dog and Cat Hotel is a pet hotel located in Las Vegas. Assume that in March, when dog-days (occupancy) were at an annual low of 1,000, the average cost per dog-day was \\( \\$ 14 \\). In July, when dog-days were at a capacity level of 4,000 , the average cost per dog-day was \\( \\$ 8 \\). (a) Develop an equation for monthly operating costs. (Let \\( X= \\) dog-days per month) Total cost \\( = \\) (b) Determine the average cost yer dog-day at an annual volume of 24,000 dogdays