The time, t, for am ice cube to melt. is inversely proportional to the temperature, T, of the water the ice cube is placed. If it takes an i

Question

The time, t, for am ice cube to melt. is inversely proportional to the temperature, T, of the water the ice cube is placed. If it takes an ice cube 2 minutes to melt in 75f water, how long will it take an ice cube of the same size to melt in 80f water?

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Thiên Thanh 4 years 2021-08-31T10:24:25+00:00 1 Answers 6 views 0

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  1. diemkieu
    0
    2021-08-31T10:26:23+00:00
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    Answer:

    15/8 minutes

    Step-by-step explanation:

    The inverse relationship implies the following equation.

    t=\frac{k}{T}

    where k is a constant.

    You are given a t and T that go together, so

    2=\frac{k}{75}

    This implies that k=150.  Now you know that the relationship is

    t=\frac{150}{T}

    Now substitute 80 for T to get the answer.

    t=\frac{150}{80}=\frac{15}{8}[tex]t=\frac{150}{80}=\frac{15}{8}[/tex]

    minutes.

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