Many public entities like cities, counties, states, utilities, and Indian tribes are hiring firms to lobby Congress. One goal of such lobbying is to place earmarks-money directed at a specific project-into appropriation bills. The amount (in millions of dollars) spent by certain public entities on lobbying in a theoretical six-year span is given by f(t) = -0.375t³ + 5.832t2 +9.039t + 43.7 (0 ≤ts 6) where t is measured in years, with t = 0 corresponding to the first year. (a) Is fincreasing or decreasing on (0, 6)? O increasing O decreasing O varies (b) Find the inflection point of f. (Round your answer to two decimal places.) t =

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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Many public entities like cities, counties, states, utilities, and Indian tribes are hiring firms to lobby Congress. One goal of such lobbying is to place earmarks-money directed at a specific project-into
appropriation bills. The amount (in millions of dollars) spent by certain public entities on lobbying in a theoretical six-year span is given by
f(t) = -0.375t³ + 5.832t2 +9.039t + 43.7 (0 ≤t≤ 6)
where t is measured in years, with t= 0 corresponding to the first year.
(a) Is fincreasing or decreasing on (0, 6)?
O increasing
O decreasing
O varies
(b) Find the inflection point of f. (Round your answer to two decimal places.)
Transcribed Image Text:Many public entities like cities, counties, states, utilities, and Indian tribes are hiring firms to lobby Congress. One goal of such lobbying is to place earmarks-money directed at a specific project-into appropriation bills. The amount (in millions of dollars) spent by certain public entities on lobbying in a theoretical six-year span is given by f(t) = -0.375t³ + 5.832t2 +9.039t + 43.7 (0 ≤t≤ 6) where t is measured in years, with t= 0 corresponding to the first year. (a) Is fincreasing or decreasing on (0, 6)? O increasing O decreasing O varies (b) Find the inflection point of f. (Round your answer to two decimal places.)
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