Chapter 1.5, Problem 9PPS

(a)

To determine

To calculate: To writean equation that can be used to find the area of any ten square floor tiles

Answer to Problem 9PPS

The equation that can be used to find the area of any ten square floor tilesis $A=10x^2$

Explanation of Solution

Given information: Kevin’s Flooring sells different sizes of square floor tiles. Carl wants to purchase $10$ tiles

Calculation:

Given that Carl wants to purchase $10$ tiles

Let the side of tile be $x$

Thus, area of one tile is calculated as

  $\begin{array}{l}Area=x\times x\\ Area=x^2\end{array}$

Also, area of 10 tiles is

  $\begin{array}{l}Area=x^2\times 10\\ A=10x^2\end{array}$

Hence, the equation that can be used to find the area of any ten square floor tiles is $A=10x^2$

(b)

To determine

To calculate: To make a function table to find the area covered by 10 tiles that measure $6,12,15$ and $24$ inches

Answer to Problem 9PPS

Function table is

Side of Tile	Area
6	360
12	1440
15	2250
24	5760

Explanation of Solution

Given information: Kevin’s Flooring sells different sizes of square floor tiles. Carl wants to purchase $10$ tiles

Calculation:

Given the equation that can be used to find the area of any ten square floor tiles is $A=10x^2$

When $x=6$ , $A=10{\left(6\right)}^2=10\left(36\right)=360$

When $x=12$ , $A=10{\left(12\right)}^2=10\left(144\right)=1440$

When $x=15$ , $A=10{\left(15\right)}^2=10\left(225\right)=2250$

When $x=24$ , $A=10{\left(24\right)}^2=10\left(576\right)=5760$

Thus, function table is given as

Side of Tile	Area
6	360
12	1440
15	2250
24	5760

(c)

To determine

To calculate: To graph the ordered pairs for the function

Answer to Problem 9PPS

Graph is sketched

Explanation of Solution

Given information: Kevin’s Flooring sells different sizes of square floor tiles. Carl wants to purchase $10$ tiles

Calculation:

Given the function table as follows

Side of Tile	Area
6	360
12	1440
15	2250
24	5760

On plotting the above points on graph,