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?
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
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#
