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
