Interpreting Data from Graphs

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ACT Science › Interpreting Data from Graphs

Questions 1 - 10
1

Consider the solubility trend of Oxygen gas shown in Figure 2. If the temperature of a lake increases from 20°C to 40°C due to thermal pollution, the amount of dissolved oxygen available to fish would likely:

Question graphic

increase by approximately 9 mg/L.

decrease by approximately 3 mg/L.

increase by approximately 3 mg/L.

decrease by approximately 6 mg/L.

Explanation

This is a calculation and prediction question requiring you to read values from a graph and determine the change. Figure 2 shows oxygen solubility at 20°C is approximately 9 mg/L and at 40°C is approximately 6 mg/L. The change is 6 - 9 = -3 mg/L (a decrease of 3 mg/L). Since the curve slopes downward (gas solubility decreases with temperature), warming the lake causes oxygen loss. Choice C (decrease by approximately 3 mg/L) is correct. Choices A and B suggest increases, which contradicts the downward-sloping curve. Choice D (decrease by 6 mg/L) would be the change from 9 mg/L to 3 mg/L (from 20°C to 60°C), not to 40°C. Pro tip: For change questions, read both values carefully and subtract to find the difference.

2

Based on Figure 1, the solubility of KNO₃ at 50°C is closest to:

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85 g/100 g H₂O.

60 g/100 g H₂O.

110 g/100 g H₂O.

30 g/100 g H₂O.

Explanation

This is a graph interpolation question testing your ability to read values between plotted data points. Figure 1 shows KNO₃ solubility at 40°C is approximately 60 g and at 60°C is approximately 110 g. The question asks for the value at 50°C, which falls exactly between these two temperatures. Since 50°C is the midpoint between 40°C and 60°C, you can estimate the solubility as roughly the midpoint between 60 g and 110 g. The midpoint is (60 + 110) ÷ 2 = 85 g. Choice C (85 g) is correct. Choice A (30 g) is far too low. Choice B (60 g) is the value at 40°C, not 50°C. Choice D (110 g) is the value at 60°C. Pro tip: For interpolation, locate the two surrounding known points and estimate between them.

3

Consider the solubility trend of Oxygen gas shown in Figure 2. If the temperature of a lake increases from 20°C to 40°C due to thermal pollution, the amount of dissolved oxygen available to fish would likely:

Question graphic

decrease by approximately 6 mg/L.

increase by approximately 9 mg/L.

decrease by approximately 3 mg/L.

increase by approximately 3 mg/L.

Explanation

This is a calculation and prediction question requiring you to read values from a graph and determine the change. Figure 2 shows oxygen solubility at 20°C is approximately 9 mg/L and at 40°C is approximately 6 mg/L. The change is 6 - 9 = -3 mg/L (a decrease of 3 mg/L). Since the curve slopes downward (gas solubility decreases with temperature), warming the lake causes oxygen loss. Choice C (decrease by approximately 3 mg/L) is correct. Choices A and B suggest increases, which contradicts the downward-sloping curve. Choice D (decrease by 6 mg/L) would be the change from 9 mg/L to 3 mg/L (from 20°C to 60°C), not to 40°C. Pro tip: For change questions, read both values carefully and subtract to find the difference.

4

Based on Figure 1, at a depth of 2,000 km, the velocity of P-waves is approximately:

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14 km/s.

10 km/s.

7 km/s.

12 km/s.

Explanation

This is a graph reading question. At 2,000 km depth (within the Mantle), trace up to the solid P-wave line. The specification indicates P-waves "increase steadily through the Mantle to ~13 km/s at 2,900 km." At 2,000 km (about 70% through the mantle from 40 to 2,900), the velocity should be around 11-12 km/s. Choice C (12 km/s) is correct. Choice A (7 km/s) is too low. Choice B (10 km/s) is slightly low. Choice D (14 km/s) exceeds the maximum shown. Pro tip: For reading between points, estimate based on the curve's position relative to nearby values.

5

Based on Figure 1, as the environmental temperature increases from 5°C to 25°C, the metabolic rate of the Mouse:

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decreases, then increases.

remains constant.

increases only.

decreases only.

Explanation

This is a trend reading question. Following the Mouse curve in Figure 1 from 5°C to 25°C, the metabolic rate starts at approximately 5.5 mL and decreases to approximately 1.5 mL at 25°C. This is a consistent downward trend throughout this temperature range. Choice B (decreases only) is correct. Note that the curve does increase slightly after 25°C (at 35°C it rises to ~2.0), but the question specifically asks about 5°C to 25°C, not the full range. Choice A (increases) is opposite. Choice C (decreases then increases) would be correct for the full 5-35°C range, but not for the 5-25°C range specified. Choice D (constant) is wrong. Pro tip: Read question limits carefully—answer based on the specified range only.

6

A meteorologist compared total rainfall across four months at one location. Figure 1 shows monthly rainfall totals. According to the graph, which month had rainfall closest to 60 mm?

Bar heights are approximately: April 45 mm, May 62 mm, June 80 mm, July 55 mm. Caption: Each bar represents the total rainfall measured for that month; values can be compared by bar height.

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July

June

May

April

Explanation

The bar graph compares rainfall totals for April (45 mm), May (62 mm), June (80 mm), and July (55 mm). May's bar at 62 mm is closest to 60 mm, as it's only 2 mm above while others differ more. This is correct because comparing bar heights to the target value identifies the nearest, demonstrating bar graph comparison. Option C, July at 55 mm, is close but farther from 60 than May.

7

Biologists observed bacterial population growth in a nutrient broth over several hours. Figure 1 shows population size versus time. If the trend from 4 to 8 hours continues to 10 hours, what population size would be the best estimate at 10 hours?

Points are (0, 1), (2, 2), (4, 4), (6, 8), and (8, 16), connected by straight segments. Caption: The population approximately doubles every 2 hours over the interval shown; extrapolation beyond 8 hours assumes the same doubling pattern continues.

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20 million cells

24 million cells

18 million cells

32 million cells

Explanation

The graph depicts bacterial population doubling every 2 hours, from 1 at 0 h, to 2 at 2 h, 4 at 4 h, 8 at 6 h, and 16 at 8 h. Extrapolating the trend to 10 h gives 32 million cells, as it doubles from 16. This is correct because continuing the pattern assumes the same growth rate, illustrating extrapolation from graphs. Option C, 24 million, might result from adding instead of multiplying.

8

A student monitored the temperature of a cooling metal rod after it was removed from an oven and left at room conditions. Figure 1 shows the rod’s temperature versus time. Use the graph to determine the temperature at a specific time.

The curve decreases rapidly at first and then more slowly, passing through approximately (0, 200), (5, 120), (10, 85), (15, 65), and (20, 55). Caption: Temperature measurements were taken every 5 minutes as the rod cooled; points are connected to show the trend.

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55 °C

65 °C

85 °C

120 °C

Explanation

The graph shows the temperature of the cooling rod decreasing over time, with the curve passing through points like (0, 200), (5, 120), (10, 85), (15, 65), and (20, 55). To find the temperature at 10 minutes, follow the x-axis to 10 min, go up to the curve, and read across to the y-axis, which gives approximately 85 °C. This is correct because the graph directly indicates 85 °C at that point, demonstrating how to read a specific value from a line graph. Option C, 65 °C, might be chosen if someone misreads the time as 15 minutes instead.

9

A student measured the speed of a cart rolling down different ramp angles. Figure 1 plots cart speed versus ramp angle. Based on the scatter plot, which statement best describes the relationship between ramp angle and cart speed?

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Speed generally increases as ramp angle increases.

Speed generally decreases as ramp angle increases.

Speed increases up to 15° then decreases after 15°.

Speed remains constant across all ramp angles.

Explanation

The scatter plot shows cart speed increasing with ramp angle, with points clustering around (5, 0.6), (10, 1.0), (15, 1.4), (20, 1.9), (25, 2.3), and (30, 2.8). The overall trend is a steady rise, best described as speed generally increasing as ramp angle increases. This is correct because the pattern of points demonstrates a positive correlation, illustrating how to interpret trends in scatter plots. Option D might mislead if someone sees a false peak at 15° due to not viewing the full trend.

10

An ecologist counted the number of insects observed in 5 different habitats during a 1-hour survey. Figure 1 shows the counts.

According to Figure 1, which habitat had the fewest insects observed?

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Garden

Desert

Field

Forest

Explanation

The Desert habitat had the fewest insects observed according to Figure 1. Comparing the bar heights for all five habitats (Field, Forest, Pond, Garden, Desert), the Desert bar is clearly the shortest, indicating the lowest insect count during the 1-hour survey period.

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