In science class, Jada uses a graduated cylinder with water in it to measure the volume of some marbles. After dropping in 4 marbles so they are all under water, the water in the cylinder is at a height of 10 milliliters. After dropping in 6 marbles so they are all under water, the water in the cylinder is at a height of 11 milliliters.

If this can be represented by a liner model, predict the height of the cylinder after dropping in 8 marbles.

Question

Mathematics

Kobe Tran

21 July, 15:39

In science class, Jada uses a graduated cylinder with water in it to measure the volume of some marbles. After dropping in 4 marbles so they are all under water, the water in the cylinder is at a height of 10 milliliters. After dropping in 6 marbles so they are all under water, the water in the cylinder is at a height of 11 milliliters.

If this can be represented by a liner model, predict the height of the cylinder after dropping in 8 marbles.

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Answers (1)

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Amy Bell · Answer 1

The height of water in the cylinder after drooping 8 marbles is 12 mm

Step-by-step explanation:

∵ The change of the height of the water varies directly with the change of the number of marbles

∵ (h2 - h1) α (x2 - x1)

∴ (h2 - h1) = k (x2 - x1)

∴ (11 - 10) = k (6 - 4)

∴ 1 = 2 k

∴ k = 1/2

∴ (h2 - h1) = 1/2 (x2 - x1)

∴ (Δh) = 1/2 (Δx)

∴ h3 - 11 = 1/2 (8 - 6)

∴ h3 = 1/2 * 2 + 11 = 12 milliliter