Answer:
1.) X = 7 and Y = 5
2.) 5 streamers
Step-by-step explanation:
According to the question, you are given the inequality equation of
2.5x + 3.5y < = 35
Since the equation is less than or equal to, than means that the equation can be 2.5x + 3.5y = 35
According to the graph,
X = 14 and Y = 10
Substitute both into the equation if it will not exceed 35
2.5(14) + 3.5(10) = 35
35 + 35 = 70. This is wrong.
Take the half value of both x and y and substitute again
X = 7 and Y = 5
2.5(7) + 3.5(5)
17.5 + 17.5 = 35
Therefore, she can buy 7 helium - filled balloons and 5 streamers
2.) If Julie buy 6 ballons, substitute x for 6 in the inequality equation to find y
2.5(6) + 3.5y < = 35
Open the bracket
15 + 3.5y < = 35
Collect the like terms
3.5y <= 35 - 15
3.5y <= 20
Make y the subject of formula
Y <= 20/3.5
Y < = 5.7
We can therefore conclude that she can buy 5 streamers. Or 5 1/2 if possible.
