Question

subjected to external heating to simulate a day/night cycle. the line plot below shows the results for the two units for a twenty-four-hour period, along with the target temperature. identify any misrepresentation issues in the graph. select all that apply.

time and temperature
graph with temperature (fahrenheit) on y - axis (64, 66, 68, 70, 72) and hour of the day (0, 4, 8, 12, 16, 20, 24) on x - axis, with lines for controller 1, controller 2, and target

select all that apply:

a: the horizontal axis scale is not appropriate.

b: the horizontal axis ticks are not placed correctly.

c: the vertical axis scale is not appropriate.

d: a zero - break should be added to the y - axis.

e: the graph is designed appropriately.

Explanation:

• For option A: The horizontal axis (time) has ticks at 0, 4, 8, 12, 16, 20, 24, which is appropriate for a 24 - hour period, so A is incorrect.
• For option B: The horizontal axis ticks are placed at regular intervals (every 4 hours) which is correct for a 24 - hour cycle, so B is incorrect.
• For option C: The vertical axis (temperature) has a scale from 64 to 72, with the data (temperatures around 68) within this range. However, the scale is too narrow? Wait, no, actually, the main issue is that the vertical axis starts at 64 instead of 0, but wait, no—wait, the problem is about misrepresentation. Wait, no, the vertical axis scale: if we are showing temperature around 68, a scale from 64 to 72 is appropriate to show the variation. Wait, no, maybe I got it wrong. Wait, the options: let's re - evaluate. Wait, the graph is about temperature over 24 hours. The vertical axis is temperature in Fahrenheit. The scale from 64 to 72 is appropriate because the temperatures (Controller 1, Controller 2, Target) are around 68. But wait, option C says "The vertical axis scale is not appropriate"—no, that's not right. Wait, maybe the correct answer is E? No, wait, no—wait, let's check again. Wait, the horizontal axis: 0 - 24 hours, ticks at 0,4,8,12,16,20,24—correct. Vertical axis: 64 - 72, with the data points around 68. The graph is designed to show the temperature variation over 24 hours, and the axes are appropriate. Wait, but let's check the options again. Option E: "The graph is designed appropriately." Let's check other options:

• Option A: Horizontal axis scale (time) is appropriate (0 - 24 hours, ticks every 4 hours), so A is wrong.
• Option B: Horizontal axis ticks are placed correctly (0,4,8,12,16,20,24), so B is wrong.
• Option C: Vertical axis scale (64 - 72) is appropriate for showing temperatures around 68 (since the variation is small, a narrow scale helps show the details), so C is wrong.
• Option D: A zero - break is not needed here because the temperature is not near zero, and adding a zero - break would distort the data (make the variation look smaller), so D is wrong.
• Option E: The graph has appropriate axes (horizontal for time 0 - 24, vertical for temperature 64 - 72) and shows the data (Controller 1, Controller 2, Target) clearly, so the graph is designed appropriately.

Answer:

E. The graph is designed appropriately.