Chapter 1.5, Problem 4PPS

To determine

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

Answer to Problem 4PPS

Relation in table is given as follows

Number of Tickets	Total Cost($)
Input (x)	Output (y)
4	32
7	56
9	72
12	96

Domain is $\left\{4,7,9,12\right\}$ and range is $\left\{32,56,72,96\right\}$

Explanation of Solution

Given information:Each ticket to school musical costs $\$8$

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 each ticket to school musical costs $\$8$

When $x=4$ , cost, $y=4\times 8=\$32$

When $x=7$ , cost, $y=7\times 8=\$56$

When $x=9$ , cost, $y=9\times 8=\$72$

When $x=12$ , cost, $y=12\times 8=\$96$

Hence, completed function table is as follows:

Number of Tickets	Total Cost($)
Input (x)	Output (y)
4	32
7	56
9	72
12	96

Domain and range are as follows:

  $D=\left\{4,7,9,12\right\}$

  $R=\left\{32,56,72,96\right\}$