# How do you write the equation if R is inversely proportional to the square of I and I = 25 when R = 100?

##### 1 Answer

Apr 14, 2018

#### Answer:

#### Explanation:

#"the initial statement is "Rprop1/I^2#

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

#"of variation"#

#rArrR=kxx1/I^2=k/I^2#

#"to find k use the given condition"#

#I=25" when "R=100#

#R=k/I^2rArrk=RI^2=100xx25^2=62500#

#"the equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(R=62500/I^2)color(white)(2/2)|)))#