Question

A submarine descends below the water's surface at a rate of 50 meters per minute. Write an expression to represent the submarine's position relative to the surface after 6 minutes.(

Answer 1

To represent the submarine's position relative to the surface after 6 minutes, we can set up the following expression:

Let \( d \) be the depth of the submarine below the water's surface in meters. Since the submarine descends at a rate of 50 meters per minute, after \( t \) minutes, the depth can be expressed as:

\[
d = 50t
\]

After 6 minutes, we can substitute \( t \) with 6:

\[
d = 50 \times 6
\]

Calculating this gives:

\[
d = 300
\]

Thus, the submarine's position relative to the surface after 6 minutes is:

\[
d = 300 \text{ meters}
\]

So the expression representing the submarine's position after 6 minutes is \( d = 50 \times 6 \), and the numerical value is 300 meters below the water surface.