Question

According to the graph, what is the value of the constant in the equation below?

Answer 1

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.