Question

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? The pool is 1 meter deep. The pool is 2 meters deep. The toy falls at a rate of at least a meter per second. The toy sinks at a rate of no more than a meter per second.

Answer 1

A!!

Explanation:

the pool is one meter deep

Answer 2

(A)The pool is 1 meter deep.

Explanation:

The graph that is to be interpreted is attached below.

From the graph:

We have a bold red line at y=-1

Since above the line is shaded(in red), the first inequality is: y ≥ -1

Next

The blue line is dotted and passes through points (0, 0) and (-2, -1).

We determine the equation of the blue line, y=mx+b.

Slope of the blue line,
`m =(-1-0)/(-2-0)=(1)/(2)`

Since the y-intercept, b=0

The equation of the line is:
`y=(1)/(2)x`

Since below the blue line is shaded, the inequality showing the shaded area is:
`y<(1)/(2)x`

Therefore, a solution to the set of inequalities is (2, -1)

Since the pool is 1 meter deep and anything beyond this is outside the feasible region, the constraint is:

(A). The pool is 1 meter deep.