Question

Use the image to answer the question.

An illustration shows quadrant one of a coordinate plane where the x-axis and y-axis range from 0 to 6 in increments of 1. The y-axis is titled distance in feet and the x-axis is titled time in seconds. A solid line, labeled A, is marked on the graph and passes through coordinates left parenthesis 0 comma 0 right parenthesis and left parenthesis 3 comma 6 right parenthesis. A dotted line, labeled B, is marked on the graph and passes through coordinates left parenthesis 0 comma 0 right parenthesis and left parenthesis 6 comma 6 right parenthesis. A dashed line, labeled C, is marked on the graph and passes through coordinates left parenthesis 0 comma 0 right parenthesis and left parenthesis 6 comma 3 right parenthesis.

Which of these objects is moving at a rate of 2 feet per second?

(1 point)
Responses

object B
object B

all of the objects
all of the objects

object C
object C

object A

Answer 1

To determine which object is moving at a rate of 2 feet per second, we need to analyze the slopes of the lines representing each object.

1. **Object A** passes through the points (0, 0) and (3, 6). The change in distance over the change in time is calculated as follows:
- Change in distance = 6 feet
- Change in time = 3 seconds
- Rate = Change in distance / Change in time = 6 feet / 3 seconds = 2 feet per second.

2. **Object B** passes through the points (0, 0) and (6, 6):
- Change in distance = 6 feet
- Change in time = 6 seconds
- Rate = Change in distance / Change in time = 6 feet / 6 seconds = 1 foot per second.

3. **Object C** passes through the points (0, 0) and (6, 3):
- Change in distance = 3 feet
- Change in time = 6 seconds
- Rate = Change in distance / Change in time = 3 feet / 6 seconds = 0.5 feet per second.

Based on the calculations, only **object A** is moving at a rate of 2 feet per second.

Thus, the answer is:
**object A**