A school is allowing its seniors to write proposals for their senior trip. Group A Submits an idea for attending a theme park. It would cost $200 to rent a bus, $5.50 per student for food and $35.75 per student for tickets. Group B submits a proposal to go to the beach and aquarium. For this trip it would cost $350 for the bus, $7.25 per student for food, and the aquarium is $4.00 per student. How many students would need to attend for the prices of the two trips to be the same?

c

step-by-step explanation:

at least i think its

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:

step-by-step explanation: