The temperature T at a distance, d meters from a heat source is inversely proportional to the square of the distance. When d=4 t=275 how do you find t when d=6?
1 Answer
Feb 23, 2018
Explanation:
#"the initial statement is "Tprop1/d^2#
#"to convert to an equation multiply by k the constant"#
#"of variation"#
#rArrT=kxx1/d^2=k/d^2#
#"to find k use the given condition"#
#"when "d=4,T=275#
#T=k/d^2rArrk=Txxd^2=275xx16=4400#
#"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(T=4400/d^2)color(white)(2/2)|)))#
#"when "d=6" then"#
#T=4400/36=122.bar(2)#
