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In each of three trials of an investigation, a single force is applied to a mobile. Each time, the mobile acquires a different acceleration. The table shows the relationship between the acceleration and the acting force.


Force (N)

Acceleration (m/s2)

1.2

4.8

0.7

2.8

1.6

6.4

Which phrase best describes a graph that would represent the relationship shown in the table?(1 point)
Responses

an upward-sloping line drawn on a graph with acceleration shown on the y-axis and force shown on the x-axis
an upward-sloping line drawn on a graph with acceleration shown on the y -axis and force shown on the x -axis

an upward-sloping line drawn on a graph with acceleration shown on the x-axis and force shown on the y-axis
an upward-sloping line drawn on a graph with acceleration shown on the x -axis and force shown on the y -axis

a downward-sloping line drawn on a graph with acceleration shown on the x-axis and force shown on the y-axis
a downward-sloping line drawn on a graph with acceleration shown on the x -axis and force shown on the y -axis

a downward-sloping line drawn on a graph with acceleration shown on the y-axis and force shown on the x-axis
a downward-sloping line drawn on a graph with acceleration shown on the y -axis and force shown on the x -axis

1 answer

To determine the best phrase describing the graph that represents the relationship between force and acceleration, we can analyze the data provided in the table:

  • When the force is 1.2 N, the acceleration is 4.8 m/s².
  • When the force is 0.7 N, the acceleration is 2.8 m/s².
  • When the force is 1.6 N, the acceleration is 6.4 m/s².

In this data, we can see that as the applied force increases, the acceleration also increases. This indicates a positive correlation.

In constructing a graph where acceleration is on the y-axis and force is on the x-axis, we would expect to see an upward-sloping line, showing that higher forces result in higher accelerations.

Therefore, the best phrase describing the graph that would represent the relationship shown in the table is:

"an upward-sloping line drawn on a graph with acceleration shown on the y-axis and force shown on the x-axis."