Question

If "u" varies directly with "v", and u = 6 when v = -7, what is "u" when v =4?

Answer 1

Answer:

u = -24/7

Step-by-step explanation:

u = 6 = u

v      -7     4

-7u = 24

u = -24/7

Answer 2

Answer:

u = - $\frac{24}{7}$

Step-by-step explanation:

Given that u varies directly with v then the equation relating them is

u = kv ← k is the constant of variation

To find k use the condition u = 6 when v = - 7, then

6 = - 7k ( divide both sides by - 7 )

- $\frac{6}{7}$ = k

u = - $\frac{6}{7}$ v ← equation of variation

When v = 4 , then

u = - $\frac{6}{7}$ × 4 = - $\frac{24}{7}$