Answer:
The correct option is 1.
Step-by-step explanation:
It is given that a system of inequalities can be used to determine the depth of a toy, in meters, in a pool depending on the time, in seconds, since it was dropped.
Let y be the depth of a toy and x is time, in seconds.
In the given graph a solid horizontal line passes through the point (0,-1) and shaded region is above the line. So, the inequality of red line is
[tex]y\geq -1[/tex]
The depth of a toy can be less than -1. It means the pool is 1 meter deep.
The blue line is a dashed line which passes through (0,0) and (2,-1).
So the slope of line is
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{-1-0}{2-0}=-\frac{1}{2}[/tex]
The equation of blue line is
[tex]y=mx+b[/tex]
where, m is slope and b is y-intercept.
[tex]y=-\frac{1}{2}x+0[/tex]
[tex]y=-\frac{1}{2}x[/tex]
The shaded region is below the line so the required inequality is
[tex]y< -\frac{1}{2}x[/tex]
it means the toy sinks at a rate of less than 1/2 meter per second.
Therefore the correct option is 1.
Answer:The Answer is A
Step-by-step explanation: I took the test on edge
