Final answer:
The mathematical expression representing a turtle diving at 8 inches per second for 16 seconds is expression F. 16(-8), which signifies the depth change in inches.
Step-by-step explanation:
The question is asking which mathematical expression represents the situation where a turtle is diving deeper into the water at a rate of 8 inches per second for a total of 16 seconds. Since the turtle is diving deeper, which is a downward or negative direction in relation to the surface, we would use a negative rate. Therefore, the proper expression is 16 seconds multiplied by negative 8 inches per second.
The correct expression is F. 16(-8) because we are multiplying the time the turtle dives, in seconds, by the negative rate of change in inches per second. This calculation will give us the total change in depth in inches.