Question

a deep - sea diver changes his position relative to the surface of the water by - 7 2/7 meters each minute. write and evaluate an expression to show the change in the divers position after 3 minutes.

Explanation:

Step1: Identify the rate of change and time

The diver changes position by $- 7\frac{2}{1}$ meters per minute (negative because going deeper), and the time is 3 minutes.

Step2: Write the expression

The expression to find the change in position is the rate of change times the time. The rate of change is $-7.5$ m/min and time $t = 3$ min. The expression is $-7.5\times3$.

Step3: Evaluate the expression

$-7.5\times3=-22.5$ meters.

Answer:

The expression is $-7.5\times3$ and the diver's position after 3 minutes is $- 22.5$ meters (22.5 meters below the starting - point).