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.
Answers
Given : A balloon artist creates balloon hats for children at a store’s grand opening. Graph showing the number of balloons the artist has remaining, y, after creating x hats. (0. 500) , (50, 250) , (100, 0).
To find : relationship between the number of balloons remaining and the number of hats created
Solution:
The x-axis shows Number of Balloon Hats
The y-axis shows Number of Balloon Remaining
y = mx + c
x = 0 , y =500
=> 500 = 0 + c
=> c = 500
=> y = mx + 500
x = 100 , y = 0
=>0 = 100m + 500
=> m = - 5
=> y = -5x + 500
lets check
x = 50 , y = 250
=> 250 = -250 + 500
=> 250 = 250 Verifed
5 Balloons are required to create a Hat
Number of Balloon remaining = 500 - 5 ( Hat Created)
Balloon Decreasing with Hats being created
Decreasing function
- Ve Slope
Constant slope
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AA 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.