A company is opening and expanding a new headquarters in a region over the next three years. The region had 6,240 households just before the opening. If the region grows r% annually for this period, the number of households H after t years is H(r)=6,240(1+r100)t. Find and interpret the inverse function r(H). What annual growth rate will increase the number of households to 7,800 after three years? Explain how to find your answer and provide the annual growth rate as a percentage, rounded to two decimal places