Solve the problem using dimensional analysis. Every number must have a unit. Work must be shown. Conversion factors are in the table. Gold cost $8.00 per ounce. Determine how many grams you can purchase for $15.00.

The temperature at a point (x, y) is t(x, y), measured in degrees celsius. a bug crawls so that its position after t seconds is given by x = 6 + t , y = 8 + 1 3 t, where x and y are measured in centimeters. the temperature function satisfies tx(3, 9) = 5 and ty(3, 9) = 4. how fast is the temperature rising on the bug's path after 3 seconds? (round your answer to two decimal places.)