Answer:
a = 0.8
Step-by-step explanation:
a varies jointly as b and c.
This means that a can be written as a constant k multiplied by b multiplied by c, that is:
[tex]a = kbc[/tex]
One set of values is a = 2.4, b = 0.6, and c = 0.8.
We use this to find the value of k:
[tex]2.4 = k(0.8)(0.6)[/tex]
[tex]0.48k = 2.4[/tex]
[tex]k = \frac{2.4}{0.48}[/tex]
[tex]k = 5[/tex]
So
[tex]a = 5bc[/tex]
Find a when b = 0.4 and c = 0.4.
[tex]a = 5bc = 5(0.4)(0.4) = 5(0.16) = 0.80[/tex]
The answer is a = 0.8.
