Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.
Sagot :
Using a proportional relationship, it is found that the area is of 637 square inches when the radius is of 7 inches.
What is a proportional relationship?
A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
[tex]y = kx[/tex]
In which k is the constant of proportionality.
In this problem, the surface area of a balloon varies directly as the square of mits radius, hence:
[tex]S = kr^2[/tex]
The area is 325 in² when the radius is 5 in, hence we use it to find r.
[tex]S = kr^2[/tex]
[tex]325 = 25k[/tex]
[tex]k = 13[/tex]
Hence:
[tex]S = 13r^2[/tex]
When the radius is of r = 7 in, the area in square inches is given by:
[tex]S = 13r^2 = 13 \times 49 = 637[/tex]
More can be learned about proportional relationships at https://brainly.com/question/10424180
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.
