In a tank of water, a can of regular soda will sink to the bottom, but a can of diet soda will float.
in a regular soda, about 25\text{ cm}^325 cm
3
25, start text, space, c, m, end text, cubed of sugar is dissolved in 12\text{ oz}12 oz12, start text, space, o, z, end text of carbonated water. the density of table sugar is 1.6\text{ g/cm}^31.6 g/cm
3
1, point, 6, start text, space, g, slash, c, m, end text, cubed.
in a diet soda, about 0.2\text{ cm}^30.2 cm
3
0, point, 2, start text, space, c, m, end text, cubed of aspartame (artificial sweetener) is dissolved in 12\text{ oz}12 oz12, start text, space, o, z, end text of carbonated water. the density of aspartame is 1.35\text{ g/cm}^31.35 g/cm
3
1, point, 35, start text, space, g, slash, c, m, end text, cubed.
how many times as great is the mass of the sugar in regular soda as the mass of the sweetener in diet soda?

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.

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