Respuesta :

Answer:

a = - 4.8

Step-by-step explanation:

To find the value of a when b=6 we must first find the relationship between them.

The statement

a is inversely proportional to b is written as

[tex]a \: \: \alpha \: \: \frac{k}{b} [/tex]

where k is the constant of proportionality

When a = 7.2 , b = -4

So we have

[tex]7.2= \frac{k}{ - 4} [/tex]

k = 7.2 × - 4

k = - 28.8

So the formula for the variation is

[tex]a = - \frac{28.8}{b} [/tex]

When

b = 6

That's

[tex]a = - \frac{28.8}{6} [/tex]

We have the final answer as

a = - 4.8

Hope this helps you