Question

A graph is shown with the points (8, 56) and (16, 112)

Write an equation that gives the proportional relationship of the graph.
Responses
A y = 1/7x
B y = 7xy = 7x
C y = 8xy = 8x
D y = 56x

Answer 1

To find the equation that gives the proportional relationship of the graph, we can start by recognizing that the points provided are (8, 56) and (16, 112).

In a proportional relationship, the ratio of y to x should remain constant. Let's calculate the ratio for both points.

For the first point (8, 56):
\[
\text{Ratio} = \frac{y}{x} = \frac{56}{8} = 7
\]

For the second point (16, 112):
\[
\text{Ratio} = \frac{y}{x} = \frac{112}{16} = 7
\]

Since the ratio is constant at 7 for both points, we can express this relationship as:
\[
y = 7x
\]

Looking at the options provided:
- A) \( y = \frac{1}{7}x \)
- B) \( y = 7x \)
- C) \( y = 8x \)
- D) \( y = 56x \)

The correct choice is **B) \( y = 7x \)**.