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The relationship between the number of adult tickets sold, x, and the total amount, y, in dollars, raised from the sale of the tickets is y=10x+6(150-x).
What is an equation?
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that the total number of adult tickets sold is x, and the cost of a single ticket is $10. Therefore, the total revenue from the adult tickets will be,
Total revenue from the adult tickets = [tex]\$10 \times x = 10x[/tex]
Similarly, the total number of child tickets sold is (150-x), and the cost of a single ticket is $6. Therefore, the total revenue from the child tickets will be,
Total revenue from the child tickets = [tex]\$6 \times (150-x) = 6(150-x)[/tex]
Now, the total revenue will be the sum of the revenue from adult tickets and child tickets. Therefore, the sum y will be,
[tex]y = 10x + 6(150-x)[/tex]
Hence, the relationship between the number of adult tickets sold, x, and the total amount, y, in dollars, raised from the sale of the tickets is y=10x+6(150-x).
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