Use the image to answer the question.

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

object A
object A

object C
object C

all of the objects

Answer 1

To determine which object is moving at a rate of 2 feet per second, we need to calculate the slope of each line, as the slope represents the distance traveled per unit of time.

• Object A: Passes through (0, 0) and (3, 6).

  • Slope = (Change in distance) / (Change in time) = (6 - 0) / (3 - 0) = 6 / 3 = 2 feet per second.

• Object B: Passes through (0, 0) and (6, 6).

  • Slope = (6 - 0) / (6 - 0) = 6 / 6 = 1 foot per second.

• Object C: Passes through (0, 0) and (6, 3).

  • Slope = (3 - 0) / (6 - 0) = 3 / 6 = 0.5 feet per second.

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

So, the correct response is:

object A.