Answer:
0.72 km per hour
Step-by-step explanation:
First, find the speed in meters per hour. Create a proportion where x is this speed:
=
3x = 2160
x = 720
So, the speed is 720 meters per hour. Convert this to kilometers per hour by dividing 720 by 1000, since there are 1000 meters in a kilometer:
720/1000
= 0.72
So, the speed of the conveyer belt is 0.72 km per hour
The solution of the system of equations; and <em>x</em> = 4, represented on the graph is the point (4, 1)
The graphs are straight line graphs that can be represented with linear functions.
The points on the graph with blue line are; (2, 0), (0, -1)
The slope, <em>m</em>, is therefore;
m = (0 - (-1))/(2 - 0) = 0.5
From the point, (2, 0), we have;
y = 0.5•(x - 2) = 0.5•x - 1
y = 0.5•x - 1...(1)
The equation of the graph that is constructed with red line is x = 4...(2)
The solution is given by equation (1) when<em> </em><em>x </em>= 4 as follows;
The solution satisfies both lines, and it is the point of intersection. At the solution, therefore;
y = 0.5•x - 1 and <em>x</em> = 4
Which gives;
y = 0.5 × 4 - 1 = 1
At the solution, <em>x </em>= 4, and <em>y </em>= 1, which gives the point, (4, 1)
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