Chapter 8.2, Problem 34PPS

(a)

To determine

To Make: The table for ordered pairs $(x,y)$

Answer to Problem 34PPS

  

Explanation of Solution

Given:

  

The tabular form of the data given is

  

(b)

To determine

To Explain: How the value of $y$ changes as the value of $x$ increases by $1$

Answer to Problem 34PPS

As the value of $x$ increases by $1$ then the value of $y$ increases by $3$

Explanation of Solution

Given:

  

From the table it is seen that as the value of $x$ increases by $1$ then the value of $y$ increases by $3$

(c)

To determine

To Write:An equation relating $x$ and $y$ . Then find $x$ when $y$ is $101$

Answer to Problem 34PPS

  $y=3x-1$

  $(x,y)=(34,101)$

Explanation of Solution

Given:

  

The slope for the points is $3$

Then Equation of the line is

  $\begin{array}{l}y=mx+c\\ y=3x-1\end{array}$

Hence the equation of the line is $y=3x-1$

When $y=101$

Then

  $\begin{array}{l}y=3x-1\\ 101=3x-1\\ 101+1=3x\\ 102=3x\\ x=\frac{102}{3}\\ x=34\\ (x,y)=(34,101)\end{array}$