Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

1st Edition

ISBN: 9780078682278

Author: McGraw-Hill, Berchie Holliday

Publisher: Glencoe/McGraw-Hill

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Question

Chapter 5.1, Problem 72E

To determine

To find: r when t=−11, If r varies inversely as t and r = 18 when t=−3 .

Expert Solution & Answer

Answer to Problem 72E

r=66

Explanation of Solution

Given information: If r varies inversely as t and r = 18 when t=−3

Calculation:

We are given if r=18 and t=−3 so let’s find k (which is a constant and doesn’t change)

rt=k

This is form for inverse variation where k is the constant of variation. First use known values of r and t to find k .

18−3=k, so k=−6

Now use the known values of k to get either r or t given the other.

In this problem they asked for r given t=−11

r−11=−6So, r=66

Chapter 5.1, Problem 71E

Chapter 5.1, Problem 73E

Chapter 5 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

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r when t = − 11 , If r varies inversely as t and r = 18 when t = − 3 .