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Exercise 1 Page 38
We are told that Dr. Price used a table to organize four locations, the types of sea life observed at each of them, and the depth relative to sea level of each location. We are asked to complete three given sentences.
|
The difference between Location A and Location B is meters. |
Let's take a look at Dr. Price's table.
| Location | Sea Life | Depth Relative to Sea Level (m) |
|---|---|---|
| A | Eels | - 895.9 |
| B | Eels | - 1098 320 |
| C | Shrimp | - 2784.75 |
| D | Shrimp | - 3259 58 |
Let's find the difference between Location A and Location B. Location A is 895.9 meters below the sea level, while Location B is 1098 320 meters below sea level. Let's model this situation using a number line.
| - 895.9 - (- 1098 320) |
202.25
|
The difference between Location A and Location B is 202.25 meters. |
To find the distances between Location B and Location C and between Location C and Location D, we will follow the same steps.
| Difference Between Location B and Location C | Difference Between Location C and Location D |
|---|---|
| | - 1098 320 - (- 2784.75) | | | - 2784.75 - (- 3259 58) | |
| 1686.6 | 474.875 |
The difference between Location B and Location C is 1686.6 meters, while the distance between Location C and Location D is 474.875 meters.
|
The difference between Location A and Location B is 202.25 meters. |
We are told that Dr. Price returns to Location A after observing Location B. She then descends to Location C. We want to find the total distance she travels. Let's model this situation using a number line.
We know that Dr. Price travels a distance of 202.25 meters while ascending from Location B to Location A. She then travels the same distance again while descending from Location A back to Location B. She then passes Location B and travels an additional distance of 1686.6 meters to Location C.
We are told that Dr. Price ascends from Location D to the point halfway between Location B and Location C. We want to find the total distance between Location D and the place where she stops. Let's call the distance between Location C and the point where Dr. Price stopped x.
x = 1/2 * 1686.6
MoveRightFacToNum
a/c* b = a* b/c
x = 1 * 1686.6/2
OneMult
1* a=a
x = 1686.6/2
CalcQuot
Calculate quotient
x = 843.3
The distance between Location D and where Dr. Price stopped is the sum of the distance between Location D and Location C and the distance between Location C and where Dr. Price stopped. 474.875 + 843.3 = 1318.175 The total distance between Location D and where Dr. Price stopped is 1318.175 meters.
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