Question 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
The correct answer is: an upward-sloping line drawn on a graph with acceleration shown on the y-axis and force shown on the x-axis.
The phrase that best describes a graph representing 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."
To determine the relationship between force and acceleration based on the given table, we can plot the data points on a graph with force on the x-axis and acceleration on the y-axis.
The first point in the table is (1.2 N, 4.8 m/s2), the second point is (0.7 N, 2.8 m/s2), and the third point is (1.6 N, 6.4 m/s2).
Plotting these points, we can see that as the force increases, the acceleration also increases.
Since the relationship between force and acceleration is positive (both increase together), the phrase that best describes the graph represents an upward-sloping line drawn on a graph with acceleration shown on the y-axis and force shown on the x-axis.
So, the correct answer is: "an upward-sloping line drawn on a graph with acceleration shown on the y-axis and force shown on the x-axis."