Given the graph and the description provided, we can deduce the following characteristics about the relationship between the number of balloons remaining and the number of hats created:
1. **Negative slope**: The line starts at (0, 500) and decreases to (100, 0). This indicates that as the number of hats created increases (moving right on the x-axis), the number of balloons remaining decreases (moving down on the y-axis). Hence, the line has a negative slope.
2. **Constant slope**: The line is described as straight and passes through specific points (indicating uniform change), meaning the rate of decrease in the number of balloons is consistent as more hats are made.
3. **Decreasing function**: Given that the number of balloons is dropping as more hats are produced, the function is decreasing.
Therefore, the correct phrases to describe the line are:
- Negative slope
- Constant slope
- Decreasing function
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.
A coordinate plane showing Balloon Hat Creations. The x-axis shows Number of Balloon Hats and the y-axis shows Balloons Remaining. The straight line starts at (0. 500) and continues down and to the right through points, (50, 250) and ends at (100, 0).
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
1 answer