Question

what is the value of the constant in the equation ( h(w)=\frac{\text { constant }}{w} ) that relates the height and width of this rectangle?
a. 2.5
b. 40
c. 80
d. 14

Explanation:

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

Given the point \((10,4)\), where \(w = 10\) and \(H(w)=4\). Substitute into \(H(w)=\frac{\text{Constant}}{w}\), we get \(4=\frac{\text{Constant}}{10}\).

Step2: Solve for the constant

Multiply both sides of the equation \(4=\frac{\text{Constant}}{10}\) by \(10\). Using the formula \( \text{Constant}=H(w)\times w\), so \(\text{Constant}=4\times10 = 40\).

Answer:

B. 40