Question

Write a function describing the relationship of the given variables. A varies inversely with the cube of r and when r=4,A=7

Answer 1

The relationship between variables A and r is inverse with the cube of r. The function describing this relationship is A = 448/r^3.

Step-by-step explanation:

The relationship between variables A and r can be described as an inverse relationship with the cube of r. This means that as r increases, A decreases, and vice versa.

To write a function that describes this relationship, we can use the formula A = k/r^3, where k is a constant. We can find the value of k using the given information that when r=4, A=7.

Plugging in the values, we get 7 = k/4^3, which simplifies to 7 = k/64. Multiplying both sides by 64, we get k = 7*64 = 448.

Therefore, the function describing the relationship is A = 448/r^3.