1250 l. + l. se-.2: years since 1947 , when the NC Wildlife Resources Commission was established. Use technology to complete the 4. Suppose P(t) = gives the number of deer {in thousands] in North Carolina, where t is the number of table, rounding to 1 decimal place {the model is not very accurate, anywaylt Then use the table of values, with the rounded numbers, to answer the questions that follow, with units; units not required in the table. {5 pts] {A} What was the average rate of change of P from 194? to 1948? {3 pts) {3} What was the average rate of change of P from 1948 to 1949? {3 pts} {C} Estimate the instantaneous rate of change of P in 1948. {3 pts} {Di What was the average rate of change of P from 1956 to 1957? {3 pts) {EII What was the average rate of change of P from 195? to 1958? {3 pts) {F} Estimate the instantaneous rate of change of P in 1957. {3 pts} {G} Estimate the instantaneous rate of change of P in 1997. {6 pts} {Hint: you may have to evaluate the function at othervalues not listed in the table.) {Hi Write a complete sentence interpreting the value from part G in the context of the problem. [3 pts] [III Write a complete sentence justifying an estimate of how many deer North Carolina can sustain. {3 pts] (Hint: you may have to evaluate the function at other values not listed in the table.) Show all work for full credit. State all answers in the spaces provided. Include units where appropriate. Rates of Change, Graphically For Exercises #1 and 2, use the graph of y = f(x) below. -15 10 -5 0 10 15 20 1. For each requested rate of change, sketch the line whose slope represents that rate of change. Carefully and legibly label each line with the part (A, B, C, D, E) which it represents, and then estimate its slope. (A) The average rate of change of f from x =0 to x = 5: (3 pts) (B) The average rate of change of f from x =3 to x = 5: (3 pts) (C) The instantaneous rate of change of f at x = 5: (3 pts) (D) The instantaneous rate of change of f at x = 20: (4 pts) (E) The greatest instantaneous rate of change of f for x in [0, co) : (4 pts) 2. As X increases past x = 20, what value does the output of f approach? (4 pts) f (x) - As x increases past x = 20, estimate the value that the instantaneous rate of change in f approaches. (4 pts) instantaneous rate of change of f ->