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. how long will it take for the fish to reach a depth of -37.8 meters? show your work and write a sentence to explain what your answer means (4 points)
To solve this problem, we can use the equation:
Depth = Initial Depth + (Rate of Descent * Time)
Given:
Initial Depth = -10.8 meters
Rate of Descent = 1.5 meters every 2 minutes
Let's set up the equation using the given values and the unknown variable for time:
-37.8 = -10.8 + (1.5 * t)
Simplifying the equation, we have:
-37.8 + 10.8 = 1.5t
-27 = 1.5t
Dividing both sides of the equation by 1.5:
t = -27 / 1.5
t = -18
The fish will take 18 minutes to reach a depth of -37.8 meters.
This means that every 2 minutes, the fish descends 1.5 meters. Therefore, to reach a depth of -37.8 meters, it will take the fish 18 minutes.
To solve this problem, we need to find out how many times the fish needs to descend 1.5 meters to reach a depth of -37.8 meters.
Let's first find the difference between the current depth (-10.8 meters) and the target depth (-37.8 meters):
-37.8 - (-10.8) = -37.8 + 10.8 = -27 meters
Now, we divide the difference (-27 meters) by the descent rate (1.5 meters per descent):
-27 / 1.5 ≈ -18
To reach a depth of -37.8 meters, the fish will need to descend approximately 18 times.
Since the fish descends 1.5 meters every 2 minutes, the total time it will take to reach a depth of -37.8 meters is:
18 descents * 2 minutes per descent = 36 minutes.
Therefore, it will take the fish approximately 36 minutes to reach a depth of -37.8 meters.
Explanation: This means that it will take the fish about 36 minutes to swim down from its current depth of -10.8 meters to a depth of -37.8 meters below sea level.
make it shorter please. </3
The fish descends 1.5 meters every 2 minutes. To reach a depth of -37.8 meters from its current depth of -10.8 meters, it will take approximately 18 descents. Since each descent takes 2 minutes, the fish will take a total of 36 minutes to reach the target depth.
To solve this word problem, we can set up an equation to represent the situation. Let's start by representing the initial depth of the fish, the rate at which it descends, and the desired depth.
Initial depth: -10.8 meters
Rate of descent: 1.5 meters every 2 minutes
Desired depth: -37.8 meters
We can let 'x' represent the number of 2-minute intervals it takes for the fish to reach the desired depth.
Now, we can set up an equation:
-10.8 + (1.5 * x) = -37.8
To find 'x', we can solve this equation:
-10.8 + 1.5x = -37.8
1.5x = -37.8 + 10.8
1.5x = -27
Now we can isolate 'x':
x = -27 / 1.5
x = -18
Therefore, it will take the fish 18 two-minute intervals to reach a depth of -37.8 meters.
To explain the answer, it means that it will take 18*2 = 36 minutes for the fish to descend from its initial depth of -10.8 meters to a depth of -37.8 meters, at a rate of descending 1.5 meters every 2 minutes.
did you explain what my answer means?
I apologize for not providing a clear explanation.
The answer of 18 two-minute intervals means that it will take the fish a total of 36 minutes to reach a depth of -37.8 meters. Each interval represents a 2-minute period during which the fish descends 1.5 meters. Therefore, the fish will continue descending every 2 minutes until it reaches the desired depth. In this case, it will take approximately 36 minutes for the fish to swim from its initial depth of -10.8 meters to a depth of -37.8 meters below sea level.
what is the exponent in the exponential form of the expression (1/8) (1/8) (1/8) ?
The expression (1/8) (1/8) (1/8) can be written in exponential form as (1/8)^3.
In this exponetial form, the exponent is 3, because we are multiplying the base (1/8) by itself three times.