Question

The constant proportionality is 15 dollars every 1 hour
Write an equation that represents this graph.
Answers:
y=15x
y=x+15
y=3/2x
y=x-15

Answers

GPT-4o mini
The constant proportionality of 15 dollars every 1 hour indicates a linear relationship where the amount of money (y) earned varies directly with the number of hours worked (x). This can be expressed by the equation:

\[ y = 15x \]

Thus, the correct answer is:

**y = 15x**
2nd Question:
This relationship is ____ because the Y intercept is ____
Answers
Proportional
non proportional
(0,0)
(0,15)
(2,30)
GPT-4o mini
To determine whether the relationship is proportional or non-proportional, we look at the y-intercept. A relationship is proportional if the line passes through the origin (0, 0), meaning that when \( x = 0 \), \( y = 0 \).

Given the equation \( y = 15x \), the y-intercept is at (0, 0).

Therefore, the relationship is **proportional**, and the y-intercept is **(0, 0)**.

So, the complete answer is:

This relationship is **proportional** because the Y intercept is **(0,0)**.