There are 90 seats in the school auditorium. The school had a sold out show of their play last weekend, and made $315. The cost of a ticket for an adult was $5.00 and the cost of a ticket for a child is $2.50. Which system of equations could be used to determine the number of adults, a, and
the number of children, c, that attended the showing of the movie?

63 seat for adults and 27 seat for children.

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the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

idk

step-by-step explanation: