Question

Question 4 4 pts In a Psychology class, the students were tested at the end of the course on a final exam. Then they were retested with an equivalent test at subsequent time intervals. Their average scores after t months are given in the table: Time,t (in months)_11 2 3 4 5 Score, y (%) | 86.2 85.7 85.4 85.2 85.0 Using a graphing utility, fit an exponential function to the data. Use the function you found to estimate how long will it take for the test scores to fall below 84%, rounded to the nearest month. y = 86.37 * x. 9966, 10 months y = 99.66 (0.8637)*: 2 months y = 86.37 (0.9966)*: 8 months There is not enough information to determine this

Answer 1

Timeltli 2/3/4/5 Score y 86.2785-7 86.2) 88-7/88.4185285 Let Y = A (B)? = ln (ALB)") Iny = In In 81 + ing = In A In B Ing In A te → b Y C Cat bu Y = Ex = 15 ہر کے = 55 66.6936 761 Exy E Y = 22.24415 14 EnEY nexy ba nen - CENA b = SX 66.6931761-158222471514 5x 55 ISTIS

ba -0.00 338893 CE EY bex ก = 22.9471514 +0.00338893715 ک Cr 4.45867116 ec A = = 86.3796574 B = eb = 0.996616806 X y = 86.312657460.996616806) when y € 84 % 86.3926574 (0.996116806 )* <84 78.219 ม & a 8 months y = 86.37 (0.9966 t = e 8 months option (c)