To solve this problem, we can use the equation:
depth = initial depth + (rate of descent * time)
Let's assign the values to the variables:
initial depth = -10.8 meters
rate of descent = 1.5 meters per 2 minutes
desired depth = -37.8 meters
We want to find the time it takes for the fish to reach the desired depth, so we can set up the equation:
-37.8 = -10.8 + (1.5 * time)
We can simplify this equation:
-37.8 = -10.8 + 1.5t
Now let's isolate t by subtracting -10.8 from both sides:
-37.8 - (-10.8) = 1.5t
-37.8 + 10.8 = 1.5t
-27 = 1.5t
Next, divide both sides by 1.5 to solve for t:
-27/1.5 = t
t = -18
The answer is -18.
This means it will take the fish 18 minutes to reach a depth of -37.8 meters.
Multiply & Divide Rational Numbers Unit Test
15 of 1515 of 15 Items
Question
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)
Math Short Answer Rubric (4 points)
Points Awarded Criteria
4
The answer is clear and correct.
The answer shows that the student used problem-solving skills and reasoning.
All work is shown or explained.
3
The answer is mostly correct. The student made small errors while solving.
The answer shows that the student used some problem-solving skills and reasoning.
Most work is shown or explained.
2
The answer is partially correct. The student made errors while solving.
The answer shows that the student used some problem-solving skills or reasoning.
Some work is shown or explained.
1
The answer is incorrect. The student made errors while solving.
The answer shows little problem-solving skills or reasoning.
Little or no work is shown.
0 The question is not answered.
1 answer
1 answer