H varies directly to the cube of c.
When H = 40, C = 2.
(a) Express H in terms of c.

H in terms of c is H = 5c³.

Step-by-step explanation:

Given that:

H = 40 and c = 2

H varies directly to the cube of c.

Which means that,

H ∝ c³

Let,

k be the proportionality constant.

H = kc³

Putting H=40 and c=2

Dividing both sides by 8,

Now,

H in terms of c.

H = 5c³

Hence,

H in terms of c is H = 5c³.