Chapter 1.5, Problem 15STP

(a)

To determine

To calculate:To complete the table by filling in two missing numbers

Answer to Problem 15STP

Completed table is as follows:

x	y
1	5
3	11
5	17
7	23
8	26
10	32

Explanation of Solution

Given information:Given that below function table follows a function rule

  

Calculation:

When $x=1$ , $y=5=3\left(3\right)+2$

When $x=3$ , $y=11=3\left(3\right)+2$

When $x=5$ , $y=17=5\left(3\right)+2$

When $x=7$ , $y=23=7\left(3\right)+2$

Thus, on following the pattern,

When $x=8$ , $y=8\left(3\right)+2=24+2=26$

When $x=10$ , $y=10\left(3\right)+2=30+2=32$

Thus, filled table is as follows:

x	y
1	5
3	11
5	17
7	23
8	26
10	32

(b)

To determine

To calculate:To complete the function that represents the relationship between $x$ and $y$

Answer to Problem 15STP

Relationship between $x$ and $y$ is $y=3x+2$

Explanation of Solution

Given information:Given the function table that follows function rule as follows:

x	y
1	5
3	11
5	17
7	23
8	26
10	32

Calculation:

Completed table is as follows:

x	y
1	5	$1\left(3\right)+2$
3	11	$3\left(3\right)+2$
5	17	$5\left(3\right)+2$
7	23	$7\left(3\right)+2$
8	26	$8\left(3\right)+2$
10	32	$10\left(3\right)+2$

Here, $x$ and $y$ are related as follows:

  $\begin{array}{l}y=x\left(3\right)+2\\ y=3x+2\end{array}$

Hence, relation is $y=3x+2$