Question

C) Fill in the missing information about these skates recorded by a student

Answer 1

c) To graph the line for part c) and fill in the table we recall that to graph a line we only need two points on the line.

In the table, we are given that points (1,1) and (3,5) are on the line. Using the two points formula for the equation of a line we get:

`\begin{gathered} y-1=(1-5)/(1-3)(x-1)=2x-2, \\ y=2x-1. \end{gathered}`

Now, to fill in the table, we substitute x by each value in the table:

`\begin{gathered} x=\text{ 2, y=3,} \\ x=4,\text{ y=7.} \end{gathered}`

The speed is equal to the slope of the line, from the above equation we get that the slope of the line is m=2, therefore he was skating at 2ft/sec.

Answer:

He was skating at a speed of 2ft/sec.

The graph that corresponds to the table is: