Answered: PROBLEM: This is a story about Dick…

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 $x y e a r s$ and the age of Dick be $y y e a r s$

Since, Dick is 5 years older than Jane.

So,

$y = x + 5 \dots (1)$

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

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