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max2010maxim [7]
3 years ago
11

Marshall took $36.75 to the state fair. Each ticket into the fair costs x dollars. Marshall bought 3 tickets. Write an expressio

n that represents the amount of money, in dollars, that Marshall had after he bought the tickets.
Mathematics
1 answer:
ankoles [38]3 years ago
8 0
36.75-3x=y 
y = the amount after he bought the tickets.
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Answer:

y = 3\, \sqrt{5} when x = 9.

Step-by-step explanation:

The question states that y is proportional to \sqrt{x}. In other words, there is a constant a (a \ne 0) such that y = a\, \sqrt{x} for all x \ge 0.

The question also states that y = x when x = 5. Make use of this equality to find the value of a.

Since x = 5 and y = x, it must be true that y = 5. Substitute x = 5\! and y = 5\! into the equation y = a\, \sqrt{x} and solve for a:

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\begin{aligned} y &= \sqrt{5} \, (\sqrt{9}) \\ &= \sqrt{5} \times 3 \\ &= 3\, \sqrt{5}\end{aligned}.

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