Question

A winter storm produces snow at a rate of 3 inches per hour. The equation y = 3x represents the amount of snow accumulating per hour.1) Use a table to find the points to graph for the equation .2) Graph the equation :3) Describe in detail the slope of the line in detail :

Answer 1

Completing the table we have;

`\begin{gathered} x\text{ 0 1 2 3 4} \\ y\text{ 0 3 6 9 12} \end{gathered}`

Step-by-step explanation:

Given the equation;

`y=3x`

We want to derive the corresponding values of y at each of the given values of x;

we can do that by substituting the values of x into the equation;

`\begin{gathered} y=3x \\ at\text{ x=0}; \\ y=3(0) \\ y=0 \\ (0,0) \end{gathered}`
`\begin{gathered} at\text{ x=1;} \\ y=3(1) \\ y=3 \\ (1,3) \end{gathered}`
`\begin{gathered} at\text{ x=2;} \\ y=3(2) \\ y=6 \\ (2,6) \end{gathered}`
`\begin{gathered} at\text{ x=3;} \\ y=3(3) \\ y=9 \\ (3,9) \end{gathered}`
`\begin{gathered} at\text{ x=4;} \\ y=3(4) \\ y=12 \\ (4,12) \end{gathered}`

Therefore, completing the table we have;

`\begin{gathered} x\text{ 0 1 2 3 4} \\ y\text{ 0 3 6 9 12} \end{gathered}`

Graphing the points.

The graph of the equation can be shown below;

The graph also shows each of the derived points on the table.