Stephanie has two bottles of liquid that she is going to pour down the drain. One bottle contains regular soda and the other bottle contains diet soda. The amount remaining in the regular soda bottle after x seconds can be modeled by the expression 60 - 2.25x. The amount remaining in the diet soda bottle after x seconds can be modeled by the expression 120 - 6x.

Question

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Matheng Matheng · Answer 1 · 2020-02-19T11:24:04+01:00

Answer:

See the attached figure.

Step-by-step explanation:

The rest of the question is

find the graph represents the time when the amount remaining in the diet soda bottle is less than the amount remaining in the regular soda bottle?

Solution:

The amount remaining in the diet soda bottle after x seconds can be modeled by the expression 120 - 6x

The amount remaining in the regular soda bottle after x seconds can be modeled by the expression 60 - 2.25x

The amount remaining in the diet soda bottle is less than the amount remaining in the regular soda bottle

So,

120 - 6x less than 60 - 2.25x

120 - 6x < 60 - 2.25x Combine like terms

120 - 60 < 6x - 2.25x

60 < 3.75x

16 < x

See the attached figure.

Diet soda with the blue color.

Regular soda with red color.