Question

Assume that y varies inversely with x. If y = 8.8 when x = 2.4, find x when y = 2.1. Round to the nearest tenth

Answer 1

here is the equation

y varies inversely to x

\[y = \frac{ K }{ x }\]

Answer 2

now substitute in what they gave you

\[8.8=\frac{ k }{ 2.4 }\] can you tell me what k =

Answer 3

multiply 2.4 on both sides

Answer 4

isnt it 1.6

Answer 5

8.8 * 2.4 = 21.12

Answer 6

k = 21.12 do you see where I get that?

Answer 7

yes

Answer 8

now put the k you just figure out, in with the 2nd part the gave you..

\[y =\frac{ k }{ x }\]

\[2.1=\frac{ 21.12 }{ x }\] , now solve for x

Answer 9

when you mult x on both sides you would get

2.1x = 21.2 now divide both sides by 2.1

Answer 10

its 10.1

Answer 11

yes, does it make sense?