Question

topic 1 mid - topic performance task an oceanographer, dr. price, is studying the types of sea life at various depths. part a dr. price uses a table to organize the types of sea life and the positions relative to sea level of each location. complete each sentence. the difference between location a and location b is _ meters. the difference between location b and location c is _ meters. the difference between location c and location d is ___ meters. part b after observing location b, dr. price returns to location a before descending to location c. what is the total distance she travels? part c dr. price descends to location d to observe shrimp. she then ascends and stops to observe sea life that is halfway between location b and location c. what is the total distance between location d and where dr. price stopped to observe?

Explanation:

Step1: Convert mixed - number to decimal for Location B

The depth of Location B is $- 1098\frac{3}{20}$ meters. Convert $\frac{3}{20}=0.15$, so the depth is $-1098.15$ meters. The depth of Location A is $-895.9$ meters.
The difference between Location A and Location B is $|-895.9-(-1098.15)|=|-895.9 + 1098.15|=202.25$ meters.

Step2: Calculate difference between Location A and Location C

The depth of Location C is $-2784.75$ meters.
The difference between Location A and Location C is $|-895.9-(-2784.75)|=|-895.9 + 2784.75| = 1888.85$ meters.

Step3: Calculate difference between Location B and Location C

The difference between Location B and Location C is $|-1098.15-(-2784.75)|=|-1098.15 + 2784.75|=1686.6$ meters.

Step4: Convert mixed - number to decimal for Location D

The depth of Location D is $-3259\frac{5}{8}$ meters. Convert $\frac{5}{8}=0.625$, so the depth is $-3259.625$ meters.
The difference between Location C and Location D is $|-2784.75-(-3259.625)|=|-2784.75 + 3259.625|=474.875$ meters.

Step5: Calculate total distance in Part B

The distance from Location B to Location A is $202.25$ meters, and the distance from Location A to Location C is $1888.85$ meters.
The total distance is $202.25+1888.85 = 2091.1$ meters.

Step6: Calculate mid - point depth between Location B and Location C

The mid - point depth between Location B ($-1098.15$ meters) and Location C ($-2784.75$ meters) is $\frac{-1098.15+( - 2784.75)}{2}=\frac{-1098.15 - 2784.75}{2}=\frac{-3882.9}{2}=-1941.45$ meters.
The distance between Location D ($-3259.625$ meters) and the mid - point is $|-3259.625-(-1941.45)|=|-3259.625 + 1941.45| = 1318.175$ meters.

Answer:

The difference between Location A and Location B is $202.25$ meters.
The difference between Location A and Location C is $1888.85$ meters.
The difference between Location B and Location C is $1686.6$ meters.
The difference between Location C and Location D is $474.875$ meters.
The total distance in Part B is $2091.1$ meters.
The total distance in Part C is $1318.175$ meters.