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

all of the objects
all of the objects

object A
object A

object C
object C

object B
object B

Answer 1

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

1. Object A: It passes through the points (0, 0) and (3, 6).

   • The slope (rate of change) is calculated as (change in distance) / (change in time) = (6 - 0) / (3 - 0) = 6 / 3 = 2 feet per second.

2. Object B: It passes through the points (0, 0) and (6, 6).

   • The slope is (6 - 0) / (6 - 0) = 6 / 6 = 1 foot per second.

3. Object C: It passes through the points (0, 0) and (6, 3).

   • The slope is (3 - 0) / (6 - 0) = 3 / 6 = 0.5 feet per second.

Based on these calculations:

• Object A is moving at a rate of 2 feet per second.
• Object B is moving at a rate of 1 foot per second.
• Object C is moving at a rate of 0.5 feet per second.

Therefore, the correct response is object A.