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

Answer:

E = 56

Step-by-step explanation:

Given that E varies directly with $\sqrt{C}$ then the equation relating them is

E = k$\sqrt{C}$ ← k is the constant of variation

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

k = $\frac{E}{\sqrt{C} }$ = $\frac{40}{\sqrt{25} }$ = $\frac{40}{5}$ = 8, thus

E = 8$\sqrt{C}$ ← equation of variation

When C = 49, then

E = 8 × $\sqrt{49}$ = 8 × 7 = 56