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

50x5=$250

step-by-step explanation:

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional

this linear equation would have just one solution.

step-by-step explanation:

the reason why this would have one solution is that it is an expression with just one variable. since that variable is not raised to a power, it will always have just one solution.

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2