PROBLEM:  This is a story about Dick and Jane.  How old are they? COLLECTING DATA: They were born on the exact same day, but different years.  Let's say Dick is five years older than Jane.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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PROBLEM:  This is a story about Dick and Jane.  How old are they?

COLLECTING DATA: They were born on the exact same day, but different years.  Let's say Dick is five years older than Jane.

YOU DO THIS: You might as well graph that relationship before moving on.  Graph Dicks age as a function of Janes age.  This graph gives you all the possible ages of Dick and Jane, based on this one relationship.  If we want data for a specific situation, instead of all of them, we need to establish a second criteria; another relationship.  Hence, the need for a second equation.  See below.

MORE DATA: Today is their birthday.  As it so happens, Dick is twice as old as Jane.  This is the second relationship. 

YOU DO THIS:  Graph this second relationship.  Be sure to use the same x,y for Dick and Jane in both equations.

Expert Solution
Step 1

Suppose the age of Jane be x years and the age of Dick be y years

Since, Dick is 5 years older than Jane.

So,

y=x+5              1

Now, the graph of Dick's age as a function of Jane's age is,

Trigonometry homework question answer, step 1, image 1

 

 

 

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