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Question

A graph with an x-axis representing time in minutes ranges from 0 to 4.5 in increments of 0.5. The y-axis representing distance in feet ranges from 0 to 9 in unit increments. A line is labeled speed of a sloth. The line passes through the following points: left parenthesis 0 comma 0 right parenthesis; left parenthesis 0.5 comma 3 right parenthesis; left parenthesis 1 comma 6 right parenthesis; and left parenthesis 1.5 comma 9 right parenthesis.

Identify the distance a sloth travels per minute.

(1 point)
_ft. per minute

Answer 1

To find the distance a sloth travels per minute, we can analyze the points on the graph. The points given are:

• (0, 0)
• (0.5, 3)
• (1, 6)
• (1.5, 9)

We can calculate the distance traveled per minute by looking at the change in distance over the change in time.

1. From (0, 0) to (0.5, 3):

   • Change in distance = 3 - 0 = 3 feet
   • Change in time = 0.5 - 0 = 0.5 minutes
   • Speed = Change in distance / Change in time = 3 feet / 0.5 minutes = 6 feet per minute

2. From (0.5, 3) to (1, 6):

   • Change in distance = 6 - 3 = 3 feet
   • Change in time = 1 - 0.5 = 0.5 minutes
   • Speed = 3 feet / 0.5 minutes = 6 feet per minute

3. From (1, 6) to (1.5, 9):

   • Change in distance = 9 - 6 = 3 feet
   • Change in time = 1.5 - 1 = 0.5 minutes
   • Speed = 3 feet / 0.5 minutes = 6 feet per minute

In all intervals, the distance traveled per minute is consistent.

Thus, the distance a sloth travels per minute is 6 feet per minute.