a 20cm tall rectangular solid with sides of the base a and b has a volume of 120 cm^3. find the formula that described b in terms of a. why is this formula an inverse proportion? what is the domain of this function? draw the graph of the function b(a)

Respuesta :

Answer:

b = 6/a or 120 = ab(20)

Step-by-step explanation:

This formula is an indirect proportion because as the value of a increases, the value of b decreases, and vice versa. In other words, the product of a and b is constant (in this case, 120), so if one of the variables increases, the other must decrease to maintain the same product.

The domain of this function is all positive real numbers except for a = 0, since division by zero is undefined. Therefore, the domain of the function is (0, ∞).