Answer:
40$,160$ & 60
Step-by-step explanation:
First,find the equation using y-y1/ y1-y2=x-x1=x1-x2
y-0/0-20=x-0/0-3
y=20x/3
Now put the values of x& y in the equation, for the 1st one,
y=20×6/3
=40
2nd one.y=20×24/3
=160
3rd one,
400=20x/3
X=400×3/20
=60
The values at different number of tickets and the tickets that can be bought at $400 has been determined.
When a variable varies directly with the other variable, i.e. on increasing one variable the other variable also increases, this relation is called Direct Variation.
Let x represent the number of tickets sold
Let y represent the amount of money earned from ticket sales.
y ∝ x
y = kx
k is the proportionality constant.
The value in the table will be used to determine the value of k,
For 3 tickets, the ticket amount is $20
20 = k * 3
k = 20/3
The relation is given by
y = (20/3) x
For 6 tickets, the value will be,
y = (20/3 ) *6 = $40
For 24 tickets the value will be,
y = (20/3) * 24 = $160
For $400, how many tickets can be bought,
400 = (20/3) * x
400*3 /20 = x
60 tickets can be bought for $400
To know more about Direct Variation
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