Answer:
- The value of the constant is 0.8
Explanation:
The graph has the following properties:
- Horizontal-axis (independent variable): width
- Vertical-axis (dependent variable): height
- Points on the curve:
(0.5, 1.6), (0.8, 1), (1.6, 0.5), and (2, 0.4)
The equation represented by the graph is an inverse variation:
- Height = constant / width.
From that equation, you can solve for the contstant:
- constant = height × width
Now, you can take any ordered pair to find the constant:
- (0.5, 1.6) ⇒ constant = 0.5 × 1.6 = 0.8
- (0.8, 1) ⇒constant = 0.8 × 1 = 0.8
- (1.6, 0.5) ⇒ constant = 1.6 × 0.5 = 0.8
- (2, 0.04) ⇒ constant = 2 × 0.4 = 0.8
Thus, you have obtained that the constant is 0.8.
