a system of inequalities can be used to determine the depth of a toy, in meters, in a pool depending on the…

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 1/2 meter per second. the toy sinks at a rate of no more than a 1/2 meter per second.

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 1/2 meter per second. the toy sinks at a rate of no more than a 1/2 meter per second.

Answer

Explanation:

Step1: Analyze rate - related constraints

Rate constraints are relevant for a system of inequalities based on time and depth. The depth of the pool is a static value and less likely to be part of an inequality based on time - depth relationship.

Step2: Interpret rate statements

The statement "The toy falls at a rate of at least a $\frac{1}{2}$ meter per second" can be written as an inequality. If $d$ is the depth and $t$ is the time, it can be $d\geq\frac{1}{2}t$. The statement "The toy sinks at a rate of no more than a $\frac{1}{2}$ meter per second" can be written as $d\leq\frac{1}{2}t$. These are constraints that can be part of a system of inequalities relating depth and time.

Answer:

The toy falls at a rate of at least a $\frac{1}{2}$ meter per second; The toy sinks at a rate of no more than a $\frac{1}{2}$ meter per second.