Question

what is the value of the constant in the equation ( h(w)=\text{constant}cdot w ) that relates the height and width of this rectangle?

a. 200
b. 100
c. 5

Explanation:

Step1: Substitute the values of \(w\) and \(H(w)\) into the equation

Given the point \((10,20)\), where \(w = 10\) and \(H(w)=20\). Substitute into \(H(w)=\text{Constant}\cdot w\), we get \(20=\text{Constant}\cdot10\).

Step2: Solve for the constant

To find the constant, divide both sides of the equation \(20 = \text{Constant}\cdot10\) by \(10\). So, \(\text{Constant}=\frac{20}{10}\).

Answer:

\(2\)

(It seems there is a mistake in the provided options as the correct constant value is \(2\) based on the given point \((10,20)\) and the equation \(H(w)=\text{Constant}\cdot w\))