Water is one of the few substances that expands when it freezes. The table shows

Question

Water is one of the few substances that expands when it freezes. The table shows volumes of water and the corresponding volumes of ice. The relation in the table can be represented by a graph. Let w represent the volumes of water, and let c represent the volume of ice. When the ordered pairs are graphed, they form a linear pattern. This pattern can be described by an equation. Use this information to explain how writing equations from patterns is important in science. Explain the relationship between the volumes of water and ice.

Explanation / Answer

volume of water           volume of ice

11                                 12

22                                 24

33                                 36

44                                 48

55                                 60

the relationship forms a linear pattern whose equation can be given by

y = mx+ b

m = 12/ 11

let y = volume of ice

y = 12/11 (x) + b

12 = 12/11(11) + b

b = 0

hence relationship between volume of water and volume of ice is given by

y = (12/11) * x

x = volume of water

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