To solve this problem, we need to fill in the missing values in the "Data for Atlantic Profile" table. The table provides formulas for how to calculate the
Total Distance Traveled and the
Ocean Depth.
Here is the step-by-step logic:
1.
Calculate Total Distance Traveled:
* The formula given is: $\text{Time} \times 1500 \text{ m/s}$.
* This tells us how far the sound wave traveled in total (down to the ocean floor and back up).
2.
Calculate Ocean Depth:
* The formula given is: $\text{Total Distance} \div 2$.
* Since the sound goes down and comes back up, the total distance is twice the depth. Dividing by 2 gives us the actual depth of the ocean at that point.
Let's calculate the missing rows one by one.
Row 1: Distance from Beach = 50 km
* Time: $0.4$ seconds
* Total Distance: $0.4 \times 1500 = 600$ meters
* Ocean Depth: $600 \div 2 = 300$ meters
Row 2: Distance from Beach = 100 km
* Time: $0.5$ seconds
* Total Distance: $0.5 \times 1500 = 750$ meters
* Ocean Depth: $750 \div 2 = 375$ meters
Row 3: Distance from Beach = 150 km
* Time: $0.6$ seconds
* Total Distance: $0.6 \times 1500 = 900$ meters
* Ocean Depth: $900 \div 2 = 450$ meters
Row 4: Distance from Beach = 200 km
* Time: $0.7$ seconds
* Total Distance: $0.7 \times 1500 = 1050$ meters
* Ocean Depth: $1050 \div 2 = 525$ meters
Row 5: Distance from Beach = 250 km
* Time: $1.1$ seconds
* Total Distance: $1.1 \times 1500 = 1650$ meters
* Ocean Depth: $1650 \div 2 = 825$ meters
Row 6: Distance from Beach = 300 km
* Time: $1.4$ seconds
* Total Distance: $1.4 \times 1500 = 2100$ meters
* Ocean Depth: $2100 \div 2 = 1050$ meters
Row 7: Distance from Beach = 350 km
* Time: $2.1$ seconds
* Total Distance: $2.1 \times 1500 = 3150$ meters
* Ocean Depth: $3150 \div 2 = 1575$ meters
Row 8: Distance from Beach = 400 km
* Time: $3.2$ seconds
* Total Distance: $3.2 \times 1500 = 4800$ meters
* Ocean Depth: $4800 \div 2 = 2400$ meters
Row 9: Distance from Beach = 450 km
* Time: $3.7$ seconds
* Total Distance: $3.7 \times 1500 = 5550$ meters
* Ocean Depth: $5550 \div 2 = 2775$ meters
Row 10: Distance from Beach = 500 km
* Time: $4.3$ seconds
* Total Distance: $4.3 \times 1500 = 6450$ meters
* Ocean Depth: $6450 \div 2 = 3225$ meters
*(Note: The rows from 550 km to 1200 km are already filled in correctly in the image. For example, at 550 km, $4.9 \times 1500 = 7350$, and $7350 / 2 = 3675$. The last row at 1350 km is also filled in.)*
Final Answer:
Here are the calculated values to fill in the blank cells in the "Data for Atlantic Profile" table:
| Distance from Beach (km) | Time (s) | Total Distance Traveled (meters) | Ocean Depth (meters) |
| :--- | :--- | :--- | :--- |
|
50 | 0.4 |
600 |
300 |
|
100 | 0.5 |
750 |
375 |
|
150 | 0.6 |
900 |
450 |
|
200 | 0.7 |
1050 |
525 |
|
250 | 1.1 |
1650 |
825 |
|
300 | 1.4 |
2100 |
1050 |
|
350 | 2.1 |
3150 |
1575 |
|
400 | 3.2 |
4800 |
2400 |
|
450 | 3.7 |
5550 |
2775 |
|
500 | 4.3 |
6450 |
3225 |
Parent Tip: Review the logic above to help your child master the concept of mapping the ocean floor worksheet.