Given that a constant rate of change exists between two quan

Given that a constant rate of change exists between two quantities P and Q, determine if each of the ofllowing statements regarding these quantities is always true, sometimes true, or never true. The ratio of the change in the value of P to the corresponding change in the value of Q is constant. The relationship between the varying values of P and Q can be represented by y = kx + b If the value of P increases, then the value of Q also increases. When the value of P is 0, the value of Q is also 0. The relationship between the varying values of P and Q can be represented by delta y = k delta x + b, b # 0

Solution

Since, the rate of change of P wrt Q is constant, we can say that dP/dQ = constant

So, in order we have

Always True

Always True (Differentiate y = kx + b , so we have dy/dx = k as said earlier)

Always True (To keep the rate constant)

Sometimes True

Never