We need to graph a function and use that graph to estimate how many miles lava moves in 4.5 hours.
The graph and estimations can be seen at the end of the answer.
Let's see how to graph this:
We know that the function is y= 6*x
What we need to do, is find two points in the that belong to the line, to get that, we need to evaluate the function in two points:
if x = 0:
y = 6*0 = 0
Then we have the point (0, 0)
if x = 1:
y = 6*1 = 6
Then we have the point (1, 6)
Now to graph the function, we just need to find these two points and draw a line that connects them.
A graph is shown at the end of the answer.
To estimate the distance that the lava has moved in 4.5 hours, we need to find the value 4.5 in the x-axis, then we draw a vertical line that passes through there.
In the point where this vertical line intersects the graph, we draw a horizontal line.
That horizontal line will intersect the y-axis in the correspondent y-value to x = 4.5
An example of this can be seen in the image below, my estimation is that the lava has moved something near 26 miles.
If you want to learn more, you can read:
https://brainly.com/question/20853486
