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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 A
object A

object C
object C

object B
object B

all of the objects
all of the objects
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5 answers

To determine which object is moving at a rate of 2 feet per second, we need to analyze the slopes of the lines represented by each object based on their coordinates.

  1. Object A: The line passes through (0,0) and (3,6). The slope (rate of change) is calculated as follows: \[ \text{slope of A} = \frac{\text{change in distance}}{\text{change in time}} = \frac{6 - 0}{3 - 0} = \frac{6}{3} = 2 \text{ feet per second} \]

  2. Object B: The line passes through (0,0) and (6,6). The slope is: \[ \text{slope of B} = \frac{6 - 0}{6 - 0} = \frac{6}{6} = 1 \text{ foot per second} \]

  3. Object C: The line passes through (0,0) and (6,3). The slope is: \[ \text{slope of C} = \frac{3 - 0}{6 - 0} = \frac{3}{6} = 0.5 \text{ feet per second} \]

So, only Object A is moving at a rate of 2 feet per second.

The correct response is: object A

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

(1 point)
Responses

object A
object A

object C
object C

object B
object B

all of the objects

Based on the analysis of the slopes of each line:

  • Object A has a rate of 2 feet per second (slope = 2).
  • Object B has a rate of 1 foot per second (slope = 1).
  • Object C has a rate of 0.5 feet per second (slope = 0.5).

Therefore, the object that is moving at a rate of 2 feet per second is object A.

The correct response is: object A

a b or c

The object that is moving at a rate of 2 feet per second is:

a. object A