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 couldbe 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 1/2meter per second.D)The toy sinks at a rate of no more than a1/2 meter per second​

Answer 1

Option A. is the constraint.

Explanation:

The given question is incomplete without any attachment; here is the attachment with the answer.

From the given figure,

First inequality is y ≥ (-1)

[Bold red line with shaded area in red color]

Since blue line is dotted and passes through origin (0, 0) and (-2, 1) so the equation of the line will be y = mx

where m = slope of the line

Since m =
`(y-y')/(x-x')`

=
`(1-0)/(-2-0)=(1)/(-2)`

Inequality showing the shaded area will be
`y<(-(1)/(2))x`

Solution of the set of inequalities is (2, -1)

Since pool is 1 meter deep and beyond this order pair the graph will be not continuous, so the constraint is A). The pool is 1 meter deep.