At IDNLearn.com, find answers to your most pressing questions from experts and enthusiasts alike. Discover comprehensive answers to your questions from our community of experienced professionals.
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
We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Your search for answers ends at IDNLearn.com. Thanks for visiting, and we look forward to helping you again soon.
