A diver descends at a rate of 8 m/min. Which expression CANNOT be used to find her depth after 5 minutes?

1 answer

To find the depth of the diver after 5 minutes while descending at a rate of 8 m/min, we need to determine how to represent that depth mathematically.

The depth after 5 minutes can be calculated using the formula:

\[ \text{Depth} = \text{Rate} \times \text{Time} \]

So, plugging in the values, we have:

\[ \text{Depth} = 8 , \text{m/min} \times 5 , \text{min} = 40 , \text{m} \]

This means that after 5 minutes, the diver would be at a depth of 40 meters.

In order to find an expression that cannot be used to calculate the depth, we can consider different mathematical representations. Here are some valid expressions:

  1. \( 8 \times 5 \)
  2. \( 5 \times 8 \)
  3. \( 40 \)
  4. \( 8 + 8 + 8 + 8 + 8 \)

However, an invalid expression could be something that either doesn't properly compute the desired depth or misrepresents the relationship between time and rate. Here’s an expression that would NOT work in this specific context:

  • \( 8 - 5 \)

This expression yields \(3\), which has no relevance to the calculation of depth for this scenario. It does not represent the rate of descent or the total depth at all.

So, one expression that CANNOT be used to find her depth after 5 minutes is:

\(8 - 5\).