71.6k views
5 votes
Find a mathematical model for the following statement. "A varies jointly as both b and h."

User Sealskej
by
8.9k points

1 Answer

4 votes

We have the following statement: "A varies jointly as both b and h."

We have to find a mathematical model for this statement.

When a variable varies jointly as other variables, it means it has a proportional relationship to them.

In this case, we have a variable A, which caries jointly with b and h, so we can write a general model as:


A=k\cdot b\cdot h

where k is the constant of proportionality and it can take any non-zero value.

For example, if k=2, we have:


A=2bh

Then, for any change in b or h (or both together), we have a proportional variation in A.

Answer:

The general model is A = k*b*h.

User Tyrel Van Niekerk
by
9.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories