Question

F v is one-third of the quantity 3 less than u, how does v change if u is increasing?

A. v increases at one-third the rate of increase of u
B. v decreases at 3 times the rate of increase of u
C. v decreases at one-third the rate of increase of u
D. v increases at 3 times the rate of increase of u

Answer 1

If v is one-third of the quantity 3 less than u, v will increase at one-third the rate of increase of u when u is increasing.

Step-by-step explanation:

If v is one-third of the quantity 3 less than u, we can represent this relationship algebraically as v = (u - 3)/3. From this equation, we can see that as u increases, v will also increase because it is directly proportional to u. Specifically, for every unit increase in u, v increases by one-third of that unit, since it is divided by 3 in the equation.

Therefore, the correct answer to the question 'If v is one-third of the quantity 3 less than u, how does v change if u is increasing?' is:
A. v increases at one-third the rate of increase of u.