Question

E varies directly with The square root of C. If E=40 When C=25 find: E when C = 49 ( Please help ASAP I need to hand this in tomorrow ! )

Answer 1

E = 56

Explanation:

Given that E varies directly with
`√(C)` then the equation relating them is

E = k
`√(C)` ← k is the constant of variation

To find k use the condition E = 40 when C = 25

k =
`(E)/(√(C) )` =
`(40)/(√(25) )` =
`(40)/(5)` = 8, thus

E = 8
`√(C)` ← equation of variation

When C = 49, then

E = 8 ×
`√(49)` = 8 × 7 = 56