(give brainest, if correct)
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. which constraint could
be part of the scenario?
a)the pool is 1 meter deep.
b)the pool is 2 meters deep.
c)the toy falls at a rate of at least a 1/2
meter per second.
d)the toy sinks at a rate of no more than a
1/2 meter per second

The toy sinks at a rate of no more than a  1/2 meter per second ⇒ D

Step-by-step explanation:

* Lets explain the graph

- There are two lines in the graph represented two inequalities

# Red line

- The red line which is horizontal line drawn at y = -1

- The equation of any horizontal line is y = c , c is the y-intercept

∵ The red line cuts y-axis at point (0 , -1)

∴ y-intercept is -1

∴ The equation of the line is y = -1

∵ The red shaded is over the red line

∵ The red line is a sold line

∴ The inequality is y ≥ -1

# Blue line

- The line has a slope

- The equation of any line is y = mx + c , where m is the slope of the

 line and c is the y-intercept

- The slope of any line is

  where (x1 , y1) and (x2 , y2) are two points on the line

- Chose two point from the graph to find the slope of the line

∵ The line passes through points (2 , -1) and (-2 , 1)

∴

- The y-intercept is the intersection between the line and the y-axis

  at point (0 , c)

∵ The line passes through the origin point

∴ c = 0

∴ The equation of the line is y = -0.5x

∵ The blue line is doted line

∵ The blue shading is under the line

∴ The inequality is y < -0.5x

- The solutions of the two inequalities lie in the common shaded part

 (the red and blue shaded together)

∵ The system of inequalities is used to determine the depth of a toy

  in meters, in a pool depending on the time, in seconds

∵ x-axis represents the time in seconds

∵ y-axis represents the depth of the toy in meter

∵ The rate of sink of the toy is meter per second means y/x

∴ The slope of the line represents the rate of sinks of the toy

∵ the slope is -0.5

∴ The rate of toy sinks is 1/2 meter per second

∵ y < -0.5x

- The sign (<) means no more than

∴ The toy sinks at a rate of no more than a  1/2 meter per second