When they invest K dollars, a fishery can produce Q(K) pounds of fish per month, where Q(K) = 104 K/3. In t months from now, their total investment will be K(t)=0.5t2+300 t +515 dollars. At what rate is the production of fish changing with respect to time 8 months from now? In 8 months from now, the fisher's production will be increasing at a rate of 51 pounds per month

When they invest K dollars, a fishery can produce Q(K) pounds of fish per month, where Q(K) = 104 K/3. In t months from now, their total investment will be K(t)=0.5t2+300 t +515 dollars. At what rate is the production of fish changing with respect to time 8 months from now? In 8 months from now, the fisher's production will be increasing at a rate of 51 pounds per month

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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Question

When they invest K dollars, a fishery can produce Q(K) pounds of fish per
month, where
Q(K) = 104 K/3.
In t months from now, their total investment will be
K(t)=0.5t2+300 t +515
dollars.
At what rate is the production of fish changing with respect to time 8 months
from now?
In 8 months from now, the fisher's production will be
increasing
at a rate of 51
pounds per month

Expert Solution

Introduction

Rate of change is nothing but the change happen in any observations over a period of time. Here effect of one variable cause a serious change in the another variable. It tells the relationship between the independent and dependent variable. In rate of change is calculated by means of differentiation also.