Chapter 1.4, Problem 34PPS

(a)

To determine

To calculate: To make a table of ordered pairs in which x-coordinate represents the number hours and the y-coordinate represents the number of miles hiked in $1,2,4$ and $6$ hours

Answer to Problem 34PPS

Function table is

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

Explanation of Solution

Given information:Aaron is hiking in a state park and averages $3$ miles per hour

Calculation:

Given that Aaron averages $3$ miles per hour

Distance is calculated as

  $Distance=Speed\times Time$

Let the time be $t$ seconds

Thus, we get

  $\begin{array}{l}Distance=3\times t\\ d=3t\end{array}$

When $t=1$ , $d=3\left(1\right)=3$

When $t=2$ , $d=3\left(2\right)=6$

When $t=4$ , $d=3\left(4\right)=12$

When $t=6$ , $d=3\left(6\right)=18$

Thus, function table is given as

Number of Hours	Miles Hiked
1	3
2	6
4	12
6	18

(b)

To determine

To calculate: To graph the ordered pairs for the function

Answer to Problem 34PPS

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

Number of Hours	Miles Hiked
1	3
2	6
4	12
6	18

On plotting the above points on graph,