Suppose c is inversely proportional to the square of d. If c=6 when d=3⁢, find the constant of proportionality and write the formula for c as a function of d?

c= ?
How would I write the formula?
Use your formula to find c when d is 7.

Enter the exact answer.
c=?
What would c equal?

1 Answer
Jim G.
Nov 16, 2017

#c=54/(d^2)#

Explanation:

#"the initial statement is "cprop1/d^2#

#"to convert to an equation multiply by k the constant"#
#"of variation"#

#rArrc=kxx1/d^2=k/(d^2)#

#"to find k use the given condition"#

#c=6" when "d=3#

#c=k/(d^2)rArrk=cd^2=6xx3^2=54#

#"the equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(c=54/(d^2))color(white)(2/2)|)))#

#"when "d=7#

#rArrc=54/(7^2)=54/49#

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