Question

Use the drawing tool(s) to form the correct answers on the provided graph.

Estella is a marine biologist observing the location of a rare species of sea anemone. She records the depth, in feet, of two sea anemones. A research center sends data about where it observed two more sea anemones, but the units for depth given are in fathoms. A fathom is a unit of length used in reference to depth of water.

Estella knows that 5 fathoms is equivalent to 30 feet.

The table below shows the depths of four sea anemones.

Depth (in feet) Depth (in fathoms)
? 1
18 ?
? 4
42 ?

On the graph, plot the four ordered pairs that show the depth of each sea anemone in fathoms and in feet.

Drawing Tools
Click on a tool to begin drawing.

Answer 1

Explanation:

Convert depths from fathoms to feet. We are told that 5 fathoms is equal to 30 feet. We can make a conversion factor:

5 fathoms is equal to 30 feet can be written in two ways:

1) 5 fathoms/ 30 feet, or 0.16667 fathom/foot

2) 30 feet/5 fathoms, or 6 feet/fathom. Lets use this one, since it is a clean, single number and can be multiplied times the fathoms in the table (instead of divided as would be the case with fathom/foot.

Depth

Fathoms Feet

1 6 [(1 fathom)*(6 feet/fathom) = 6 fathoms

4 24 [4*6]

18 108 [18*6]

42 252 [42*6]

The ordered pairs would be:

(1,6)

(4,24)

(18,108)

42,252)