Answer:
Slope m = -5/8
Step-by-step explanation:
5x + 8y = 16
Making y as subject of formula
8y = -5x + 16
Dividing each term by 8
8y/8 = -5x/8 + 16/8
y = -5x/8 + 2
Comparing with y = mx + c
Where m = slope and c the y intercept
Slope m = -5/8
The number of people who bought £4 tickets are 139.
<h3>How to illustrate the equation?</h3>
Let £4 tickets be x
Let £5 tickets be y.
Therefore based on the information given, this will be:
x + y = 223 ..... i
4x + 5y = 936 ..... ii
From equation i
x = 213 - y
Put this into equation ii
4x + 5y = 936
4(213 - y) + 5y = 936
852 - 4y + 5y = 936
Collect like terms
y = 84
This implies that the number of £5 tickets is 84.
Recall that x + y = 223
x + 84 = 223
x = 223 - 84
x = 139
The number of £4 tickets is 139
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They are non-proportional because the y-value doesn't depend on what the x-value is and the x-value only. Hope this helps!
