CPM Homework Help : PC Problem 2-58

We can use $x_0$ , $x_1$ , $x_2$ , $x_3$ , $x_4$ , and $x_5$ to represent the values of $x$ when an interval is broken into $5$ equal pieces. If the interval $1\le x\le4$ is divided into $5$ equal pieces, $x_0=1$ and $x_5=4$ . Find $x_1$ , $x_2$ , $x_3$ , and $x_4$ .

Step 1:

Calculate the length of the interval: $4−1=3$

Step 2:

Divide the length of the interval by the number of pieces: $3\div5=0.6$ (length of each piece)

Step 3:

Start at $1$ and add $0.6$ to each interval.

$x_0=1$
$x_1=1+0.6=1.6$
$x_2=1.6+0.6=2.2$
$x_3=2.2+0.6=2.8$
$x_4=2.8+0.6=3.4$