Question

According to the graph, what is the value of the constant in the equationbelow10-(3,9.6)Height = Constant. Width(2,6.4)Height(1.3.2)+6 (0.5, 1.6)WidthO A. 2B. 9.6Ο Ο Ο ΟC. 3.2D

Answer 1

Given different coordinates below

$\begin{gathered} (3,9.6) \\ (2,6.4) \\ (1,3.2) \\ (0.5,1.6) \end{gathered}$

The equation that connects the height to the width is given as

$\begin{gathered} h=c\times w \\ h=\text{height} \\ c=\text{constant} \\ w=\text{width} \end{gathered}$

Pick a coordinate and substitute into the equation

$\begin{gathered} (w,h)\rightarrow(3,9.6)\colon w=3,h=9.6 \\ h=c\times w \\ c=\frac{h}{w}=\frac{9.6}{3} \\ c=3.2 \end{gathered}$