Use the image to answer the question.

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 the answer ain't 2

Answer 1

To determine the distance a sloth travels per minute, we can analyze the points given on the graph, particularly those involving time and distance.

From the graph information, the points through which the line passes are:

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

To find the speed, we can calculate the distance traveled over the time taken for two successive points:

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

   • Distance traveled = 6 - 3 = 3 feet
   • Time taken = 1 - 0.5 = 0.5 minutes

   Speed = Distance / Time = 3 feet / 0.5 minutes = 6 feet per minute

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

   • Distance traveled = 9 - 6 = 3 feet
   • Time taken = 1.5 - 1 = 0.5 minutes

   Speed = Distance / Time = 3 feet / 0.5 minutes = 6 feet per minute

Based on these calculations, the sloth travels at a constant speed of 6 feet per minute.