Chapter 1.5, Problem 2CYU

To determine

To calculate:To complete the function table and determine the domain and range

Answer to Problem 2CYU

Relation in table is given as follows

Anna’s Spending ($)	Bob’s Spending ($)
Input (x)	Output (y)
2	11
4	17
6	23
8	29

Domain is $\left\{2,4,6,8\right\}$ and range is $\left\{11,17,23,29\right\}$

Explanation of Solution

Given information:Bob spent 5 more than 3 times what Anna spent

Formula Used:

In an ordered pair $\left(x,y\right)$

Domain is the set of all first elements of ordered pairs (x-coordinate)

Range is the set of all second elements of ordered pairs (y-coordinate)

Calculation:

Given that Bob spent 5 more than 3 times what Anna spent

When $x=2$ , Bob’s spending, $y=3\left(2\right)+5=6+5=11$

When $x=4$ , Bob’s spending, $y=3\left(4\right)+5=12+5=17$

When $x=6$ , Bob’s spending, $y=3\left(6\right)+5=18+5=23$

When $x=8$ , Bob’s spending, $y=3\left(8\right)+5=24+5=29$

Hence, completed function table is as follows:

Anna’s Spending ($)	Bob’s Spending ($)
Input (x)	Output (y)
2	11
4	17
6	23
8	29

Domain and range are as follows:

  $D=\left\{2,4,6,8\right\}$

  $R=\left\{11,17,23,29\right\}$