Respuesta :

The value of C when B is 5 is 3.2

Solution:

Given that,

B varies inversely with C

Which means,

[tex]B \propto \frac{1}{C}\\\\B = k \times \frac{1}{C} -------- eqn\ 1[/tex]

When B is 2, C is  8

Substitute B = 2 and C = 8 in eqn 1

[tex]2 = k \times \frac{1}{8}\\\\k = 16[/tex]

Find the value of c when B is 5.

Substitute B = 5 and k = 16 in eqn 1

[tex]5 = 16 \times \frac{1}{C}\\\\C = \frac{16}{5}\\\\C = 3.2[/tex]

Thus the value of C when B is 5 is 3.2