At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Join our platform to connect with experts ready to provide detailed answers to your questions in various areas. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
Proportionality is a relationship between different variables. The time needed for the ice to melt at 40° is 3 hours.
What is proportionality?
If two variables are directly proportional to one another, it indicates that when one doubles in size, the other does as well; if one triples, the other does as well; and if one half, the other does as well.
Given that the time needed for an ice block to melt is inversely proportional to the temperature. Therefore, the reaction can be written as,
[tex]\rm Time \propto \dfrac1{Temperature}[/tex]
Now, to remove the proportionality symbol it is needed to introduce a constant, therefore, we can write,
[tex]\rm Time = \dfrac k{Temperature}[/tex]
Given that it takes 2 hours for the ice to melt at 60°. Therefore, the value of k can be written as,
[tex]\rm 2= \dfrac k{60^o}\\\\k = 120[/tex]
Now, the time it takes for the ice to melt at 40° can be written as,
[tex]\rm Time = \dfrac{120}{Temperature}\\\\Time = \dfrac{120}{40^o} = 3\ hours[/tex]
Hence, the time needed for the ice to melt at 40° is 3 hours.
Learn more about Proportionality:
https://brainly.com/question/8598338
#SPJ1
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.
