Question

according to the graph, what is the value of the constant in the equation below?
height = constant · width
(3, 9.6)
(2, 6.4)
(1, 3.2)
(0.5, 1.6)
a. 2
b. 9.6
c. 3.2
d. 1/10

Explanation:

Step1: Recall the formula

The equation is \( \text{Height} = \text{Constant} \cdot \text{Width} \), so we can solve for the constant as \( \text{Constant} = \frac{\text{Height}}{\text{Width}} \).

Step2: Use a point to calculate

Let's take the point \( (1, 3.2) \) (Width = 1, Height = 3.2). Substitute into the formula: \( \text{Constant} = \frac{3.2}{1} = 3.2 \). We can check with another point, like \( (0.5, 1.6) \): \( \frac{1.6}{0.5} = 3.2 \), or \( (2, 6.4) \): \( \frac{6.4}{2} = 3.2 \), or \( (3, 9.6) \): \( \frac{9.6}{3} = 3.2 \). All give the same constant.

Answer:

C. 3.2