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?

Respuesta :

Answer:

15/8 minutes

Step-by-step explanation:

The inverse relationship implies the following equation.

[tex]t=\frac{k}{T}[/tex]

where k is a constant.

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

[tex]2=\frac{k}{75}[/tex]

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

[tex]t=\frac{150}{T}[/tex]

Now substitute 80 for T to get the answer.

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

minutes.

It takes an ice cube of the same size to melt in 80f water 15/8 minutes.

We have given,

The time t  for am ice cube to melt. is inversely proportional to the

temperature T of the water in the ice cube is placed.

What is the inverse relationship?

The inverse relationship implies the following equation.

[tex]t=\frac{k}{T}[/tex]

Where k is a constant.

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

[tex]2=\frac{k}{75}[/tex]

This implies that k=150.

Now you know that the relationship is

[tex]t=\frac{150}{T}[/tex]

Now substitute 80 for T to get the answer.

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

It takes an ice cube of the same size to melt in 80f water 15/8 minutes.

To learn more about the temperature visit:

https://brainly.com/question/24746268