M Varies jointly with A and T and inversley with H. Write and equation that represents the relationship.
M = AT/H.
To write an equation representing the relationship between M, A, T, and H, we need to understand how the variables are related.
The statement "M varies jointly with A and T" means that M is directly proportional to both A and T. This can be expressed as:
M ∝ A * T
Here, ∝ represents "is proportional to".
The statement "M varies inversely with H" means that M is inversely proportional to H. This can be expressed as:
M ∝ 1/H
To combine both proportional relationships, we can write:
M ∝ (A * T) / H
To convert this proportionality into an equation, we need to introduce a constant of proportionality, which we'll call k:
M = k * (A * T) / H
This equation represents the relationship where M varies jointly with A and T and inversely with H.