Drawing conclusions from evidence (age 12+)

Question 1

A student tested how much table sugar could dissolve in 100 mL of water at different temperatures. The hypothesis was: “If the water temperature is higher, then more sugar will dissolve.” Results: - 20 °C: 20 g of sugar dissolved - 30 °C: 30 g of sugar dissolved - 40 °C: 38 g of sugar dissolved - 50 °C: 45 g of sugar dissolved Which of the following is the best written conclusion?

Accepted Answer

The data show that as temperature increased from 20 °C to 50 °C, the amount of sugar that dissolved rose from 20 g to 45 g, so the hypothesis is supported.

Answer

The amount of sugar dissolved increased with temperature, therefore the hypothesis is supported.

Answer

Although the sugar amount rose from 20 g to 45 g, the hypothesis predicted a decrease, so it is not supported.

Answer

The sugar dissolved decreased as temperature increased, from 45 g at 20 °C to 20 g at 50 °C, so the hypothesis is not supported.

Question 2

The table shows how much vanilla ice‑cream (in milliliters) melted after 2 hours when the room temperature was set to different values. | Room temperature (°C) | Ice‑cream melted (ml) | |-----------------------|-----------------------| | 10 | 50 | | 20 | 120 | | 30 | 170 | | 40 | 190 | Which statement best describes the pattern shown in the data? A) The amount melted increases by about 70 ml each time the temperature rises by 10 °C. B) The amount melted increases as temperature rises, but the amount of increase gets smaller at higher temperatures. C) The amount melted decreases as temperature rises. D) The amount melted stays the same no matter what the temperature is.

Accepted Answer

The amount melted increases as temperature rises, but the amount of increase gets smaller at higher temperatures.

Answer

The amount melted increases by about 70 ml each time the temperature rises by 10 °C.

Answer

The amount melted decreases as temperature rises.

Answer

The amount melted stays the same no matter what the temperature is.

Question 3

The table shows how tall a certain plant grew after four weeks when different amounts of fertilizer were added. | Fertilizer (g) | Plant height (cm) | |----------------|-------------------| | 0 | 10 | | 2 | 13 | | 4 | 17 | | 6 | 20 | | 8 | 22 | Which statement best describes the pattern in the data?

Accepted Answer

The plant height increases by about 3 cm for each additional 2 g of fertilizer.

Answer

The plant height decreases as more fertilizer is added.

Answer

The plant height stays the same no matter how much fertilizer is added.

Answer

The plant height increases by about 5 cm for each additional 2 g of fertilizer.

Try three questions

The table shows how tall a certain plant grew after four weeks when different amounts of fertilizer were added. | Fertilizer (g) | Plant height (cm) | |----------------|-------------------| | 0 | 10 | | 2 | 13 | | 4 | 17 | | 6 | 20 | | 8 | 22 | Which statement best describes the pattern in the data?

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