Mrs. Davis is making a poster of math formulas for her students. She takes the 8.5″ x 11″ paper she printed the formulas on to the photocopy machine and enlarges the image so that the length and width are both 150% of the original. She enlargea the image a total of 3 times before she is satisfied with the size of the poster. Write an explicit formula for the sequence that models the area of the poster, A,aftern enlargements. What is the area of the final image compared to the area of the original, expressed as a percent increase and rounded to the nearest percent?