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.

Question

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

To convert fathoms to feet, we can use the conversion factor you provided: 5 fathoms = 30 feet. This means that 1 fathom = 6 feet.

Now we can fill in the missing depths in the table.

1. Depth of sea anemone in fathoms = 1:

   • Depth in feet: 1 fathom * 6 feet/fathom = 6 feet.

2. Depth of sea anemone in fathoms = 4:

   • Depth in feet: 4 fathoms * 6 feet/fathom = 24 feet.

3. Depth of sea anemone in fathoms for which depth in feet = 18:

   • To find fathoms: \( \frac{18 \text{ feet}}{6 \text{ feet/fathom}} = 3 \text{ fathoms} \).

4. Depth of sea anemone in fathoms for which depth in feet = 42:

   • To find fathoms: \( \frac{42 \text{ feet}}{6 \text{ feet/fathom}} = 7 \text{ fathoms} \).

Now we can fill in the completed table:

| Depth (in feet) | Depth (in fathoms) | |-----------------|---------------------| | 6 | 1 | | 18 | 3 | | 24 | 4 | | 42 | 7 |

Next, let's plot the four ordered pairs:

1. (1, 6)
2. (3, 18)
3. (4, 24)
4. (7, 42)

Now, on a coordinate plane, you will plot these points:

• The x-axis will represent depth in fathoms.
• The y-axis will represent depth in feet.

Be sure to label the axes and plot the points accurately!