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.(

1 answer

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.