Question

A psychologist contends that the number of facts of a certain type that are remembered after t hours is given by the following function. 89t f(t) = 99t-89 Find the rate of change at which the number of facts remembered is changing after 1 hour and after 10 hours. facts/hour. The rate of change after 1 hour is about (Round to the nearest integer as needed.)

Answer 1

897 ggt-89 Given: f(t)= . - we know the rate of change is =flt) say ff) – ofer). (93) Quotient sale of differentiation (443) $'t) 947– s'& fc). ()) so d'E= [ 89(99t- 89) – 99 (89+)] (396-8972 $ 69 = 89899+ -(89)?- 898954 (99+89) 2 0912 en to, (14) = -(89)? (997-89) 2 after 1 hour rate of change- - (89) 2 f (t) = -892 3- (8912 (99-99 19961)-99) 2 (99-89) $' ) = - 7921 - - 79.21 nearest interer > [79 facts than () atter to hours t=10 $' (t) = -7.526512 = *311361 as scalif'at)ite-0.009757facts Inowr Ang A12 090-89) 2 Can Scanner