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Zorluk: OrtaTranslating Data Formats

An environmental scientist measured the rate of enzymatic breakdown of microplastics (mg/L/hr\text{mg/L/hr}) by a bacterial strain across five different incubation temperatures (C^\circ\text{C}). The results are shown in the table below:

Incubation Temperature (C^\circ\text{C})Breakdown Rate (mg/L/hr\text{mg/L/hr})
102.0
205.5
3012.0
408.5
501.0

Which of the following descriptions best characterizes the line graph that accurately translates these experimental results?

  1. A line graph plotting Incubation Temperature (C^\circ\text{C}) on the x-axis and Breakdown Rate (mg/L/hr\text{mg/L/hr}) on the y-axis, where the curve rises from a point at (10,2.0)(10, 2.0) to a peak at (30,12.0)(30, 12.0), before declining to (50,1.0)(50, 1.0).Cevap
  2. B
    A line graph plotting Breakdown Rate (mg/L/hr\text{mg/L/hr}) on the x-axis and Incubation Temperature (C^\circ\text{C}) on the y-axis, where the curve moves rightward from (2.0,10)(2.0, 10) to a peak at (12.0,30)(12.0, 30), before returning leftward to (1.0,50)(1.0, 50).
  3. C
    A line graph plotting Incubation Temperature (C^\circ\text{C}) on the x-axis and Breakdown Rate (mg/L/hr\text{mg/L/hr}) on the y-axis, showing a strictly increasing linear trend from (10,2.0)(10, 2.0) up to (50,12.0)(50, 12.0).
  4. D
    A line graph plotting Incubation Temperature (C^\circ\text{C}) on the x-axis and Breakdown Rate (mg/L/hr\text{mg/L/hr}) on the y-axis, where the curve decreases from a maximum at (10,12.0)(10, 12.0) down to a minimum at (50,1.0)(50, 1.0).

Cevap

The correct line graph plots Incubation Temperature on the horizontal x-axis and Breakdown Rate on the vertical y-axis, forming a curve that increases to a peak value of 12.0 mg/L/hr at 30°C and then drops to 1.0 mg/L/hr at 50°C.
The correct graph properly places Incubation Temperature on the x-axis and Breakdown Rate on the y-axis. The data points from the table demonstrate an initial rise in rate up to 30°C (12.0 mg/L/hr), followed by a decline as temperature increases further to 50°C (1.0 mg/L/hr), which corresponds exactly to a peaked curve.

Adım Adım Çözüm

1
Identify axis assignments for translating tabular data to a line graph.
The independent variable (Incubation Temperature in °C) belongs on the horizontal x-axis, and the dependent variable (Breakdown Rate in mg/L/hr) belongs on the vertical y-axis.
Standard ACT scientific graphical conventions place controlled/independent variables on the x-axis and measured/dependent variables on the y-axis.
2
Trace the key data coordinates from the table (x,y)(x, y).
Points are (10,2.0)(10, 2.0), (20,5.5)(20, 5.5), (30,12.0)(30, 12.0), (40,8.5)(40, 8.5), and (50,1.0)(50, 1.0).
Accurate format translation requires verifying specific numeric values at each data level.
3
Analyze the trend of the data points.
The rate increases from 10°C to 30°C (reaching a peak of 12.0 mg/L/hr), then decreases from 30°C to 50°C.
The curve must visually reflect this unimodal (bell-shaped) trend.

Anahtar Kavram

Translating Tabular Data into Graphical Representations
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