Solve the following word problem. A fish is swimming at −10.8 meters, or 10.8 meters below sea level. Every 2 minutes it descends another 1.5 meters.

Answer 1

To determine the fish's depth after a certain amount of time, you can use the formula:

\[ \text{Depth after } t \text{ minutes} = \text{initial depth} + (\text{descent rate} \times \text{number of time intervals}) \]

1. Initial depth: \(-10.8\) meters (10.8 meters below sea level)
2. Descent rate: \(-1.5\) meters every 2 minutes
3. Number of time intervals: \(t/2\) (where \(t\) is the total time in minutes, since the fish descends every 2 minutes)

So, for \(t\) minutes, the fish's depth after \(t\) minutes can be calculated as follows:

\[ \text{Depth after } t \text{ minutes} = -10.8 + \left(-1.5 \times \frac{t}{2}\right) \]

Simplifying the equation:

\[ \text{Depth after } t \text{ minutes} = -10.8 - 0.75t \]

You can substitute any value for \(t\) to find out how deep the fish is after that specific time. For example:

• After 2 minutes (\(t = 2\)): \[ \text{Depth} = -10.8 - 0.75 \times 2 = -10.8 - 1.5 = -12.3 \text{ meters} \]

• After 4 minutes (\(t = 4\)): \[ \text{Depth} = -10.8 - 0.75 \times 4 = -10.8 - 3 = -13.8 \text{ meters} \]

• After 6 minutes (\(t = 6\)): \[ \text{Depth} = -10.8 - 0.75 \times 6 = -10.8 - 4.5 = -15.3 \text{ meters} \]

You can continue this process for any number of minutes to find out how deep the fish is swimming.

Answer 2

please no special characters

Answer 3

Sure! Let's solve the problem without using special characters.

To determine the fish's depth after a certain amount of time, we can use the following calculations:

1. The initial depth is negative ten point eight meters (ten point eight meters below sea level).
2. The fish descends at the rate of negative one point five meters every two minutes.
3. The number of time intervals, based on the total time in minutes, is t divided by two (since the fish descends every two minutes).

The formula for the depth after t minutes is:

Depth after t minutes equals initial depth plus (descent rate times number of time intervals).

We can plug in the numbers:

Initial depth: negative ten point eight meters Descent rate: negative one point five meters every two minutes Number of intervals: t divided by two

So, the formula becomes:

Depth after t minutes equals negative ten point eight minus zero point seven five times t.

Let’s calculate the depth for specific times.

• After two minutes (t equals two):

Depth equals negative ten point eight minus zero point seven five times two equals negative ten point eight minus one point five equals negative twelve point three meters.

• After four minutes (t equals four):

Depth equals negative ten point eight minus zero point seven five times four equals negative ten point eight minus three equals negative thirteen point eight meters.

• After six minutes (t equals six):

Depth equals negative ten point eight minus zero point seven five times six equals negative ten point eight minus four point five equals negative fifteen point three meters.

You can use this formula to calculate the fish's depth for any time t you choose.

Answer 4

but whats the answrr

Answer 5

To find the depth of the fish after a given time, we can summarize the general formula derived earlier:

Depth after t minutes = -10.8 - 0.75 * t

However, since you didn’t provide a specific time, I will calculate the fish's depth after specific intervals.

Here are the calculated depths for the first few time intervals:

1. After 2 minutes: Depth = -10.8 - 0.75 * 2 = -10.8 - 1.5 = -12.3 meters.

2. After 4 minutes: Depth = -10.8 - 0.75 * 4 = -10.8 - 3 = -13.8 meters.

3. After 6 minutes: Depth = -10.8 - 0.75 * 6 = -10.8 - 4.5 = -15.3 meters.

If you provide a specific time in minutes, I can calculate the exact depth for that time.

Answer 6

−37.8 meters?

Answer 7

To find out if the fish reaches a depth of -37.8 meters, we can use the formula we established:

Depth after t minutes = -10.8 - 0.75 * t

We can set the equation equal to -37.8 and solve for t:

-37.8 = -10.8 - 0.75 * t

1. Add 10.8 to both sides:

   -37.8 + 10.8 = -0.75 * t

   -27 = -0.75 * t

2. Divide by -0.75:

   t = -27 / -0.75

   t = 36

So, the fish will reach a depth of -37.8 meters after 36 minutes.