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
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