Question

a graph is shown with (3, 15) Write an equation that gives the proportional relationship of the graph.
Responses
A y = 1/5 x
B y = 3xy = 3x
C y = 5xy = 5x
D y = 15x

Answer 1

To determine the proportional relationship from the point (3, 15) on the graph, we need to find an equation in the form \( y = kx \), where \( k \) is the constant of proportionality.

Given the point (3, 15):

- Here, \( x = 3 \) and \( y = 15 \).
- To find \( k \), we can use the equation \( y = kx \):
\[
15 = k(3)
\]
- Solving for \( k \):
\[
k = \frac{15}{3} = 5
\]

Thus, the equation that represents this proportional relationship is:

\[
y = 5x
\]

Looking at the given options:
- A: \( y = \frac{1}{5}x \)
- B: \( y = 3x \)
- C: \( y = 5x \)
- D: \( y = 15x \)

The correct answer is **C: \( y = 5x \)**.