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? Check all that apply.
positive slope
negative slope
zero slope
constant slope
increasing function
decreasing function
What phrases can be used to describe the line representing the relationship between the number of balloons remaining and the number of hats created? Check all that apply.
positive slope
negative slope
zero slope
constant slope
increasing function
decreasing function
2 answers:
Answer:
The line that shows how many balloons remain as the number of hats made changes can be described by these phrases:
- Negative slope.
- Constant slope.
- Decreasing function.
Detailed explanation:
The given graph illustrates the correlation between the quantity of balloon hats produced and the remaining balloons.
It’s evident from the graph that this is a linear relationship.
Moreover, the function decreases because as the number of balloon hats created rises, the balloons left decrease accordingly.
Calculating the slope,
the line passes through points (0, 500) and (100, 0).
Thus, the slope is:
This shows the slope is negative.
Since the slope of any line is consistent, it is constant.
Therefore, the appropriate descriptions are:
Negative slope.
Constant slope.
Decreasing function.
Answer:
The slope of the line is negative,
the slope remains constant,
and the function is decreasing.
Step-by-step explanation:
The graph presents the remaining balloons (y) as a function of hats made (x).
The line passes through the points (0,500) and (100,0), forming a straight path.
Writing the equation in intercept form,
The slope is calculated as:
The negative slope indicates that when the number of hats (x) increases, the number of balloons left (y) decreases.
Thus, the correct observations are:
The line has a negative slope,
The line’s slope is constant,
The function is decreasing.
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