Question

x line: 1 min Y line: 6 distance (ft.)
identify the distance a sloth travel per minute.
_____ ft. per minute

Answer 1

0,0 2,3 4,6
Identify the constant of proportionality from the graph.

Answer 2

0,0 2,3 4,6
Identify the constant of proportionality from the graph. answers:
A. 2/3
B.1/2
C. 3/2
D. 2

Answer 3

To identify the distance a sloth travels per minute, we can use the information given: the X line represents time (1 minute) and the Y line represents distance (6 feet).

Since the X line is 1 minute and the Y line is 6 feet, we can directly conclude:

The distance a sloth travels per minute is **6 feet per minute**.

Answer 4

To identify the constant of proportionality from the points given (0,0), (2,3), and (4,6), we can represent the relationship between the x and y coordinates using the formula:

\[ k = \frac{y}{x} \]

where \( k \) is the constant of proportionality.

Let's calculate \( k \) using the points provided:

1. For the point (2,3):
\[
k = \frac{3}{2} = 1.5
\]

2. For the point (4,6):
\[
k = \frac{6}{4} = 1.5
\]

Since both points give the same constant of proportionality, we can conclude that the constant of proportionality is:

**1.5**.

Answer 5

To identify the constant of proportionality from the points (0, 0), (2, 3), and (4, 6), let's analyze the relationship between the x and y coordinates.

### Using the formula
The constant of proportionality \( k \) can be calculated using any of the points where \( k = \frac{y}{x} \) (for \( x \neq 0 \)).

### For each point:
1. For the point \( (2, 3) \):
\[
k = \frac{3}{2} = 1.5
\]

2. For the point \( (4, 6) \):
\[
k = \frac{6}{4} = 1.5
\]

This means that the correct constant of proportionality based on the points provided is **\(\frac{3}{2}\)**, which corresponds to option C.

Thus, the answer is:
**C. 3/2**.