Question

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

Answer 1

Answer:

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

$40=k(2)^3\\40=k(8)\\40=8k\\8k=40$

Dividing both sides by 8,

$\frac{8k}{8}=\frac{40}{8}\\k=5$

Now,

H in terms of c.

H = 5c³

Hence,

H in terms of c is H = 5c³.