Question

a balloon artist creates balloon hats for children at a store’s grand opening. the graph shows the number of balloons the artist has remaining, y, after creating x hats. what phrases can be used to describe the line representing the relationship between the number of balloons remaining and the number of hats created? select three options. positive slope negative slope constant slope increasing function decreasing function

Explanation:

1. Slope sign: As the number of hats created ($x$) increases, the remaining balloons ($y$) decreases. This means the line falls from left to right, so it has a negative slope.
2. Slope consistency: The graph is a straight line, so its slope is constant across all points.
3. Function trend: Since $y$ (remaining balloons) decreases as $x$ (hats created) increases, the function is decreasing.

Answer:

• negative slope
• constant slope
• decreasing function