On a school trip to Great Adventure, there are 200 students on four buses. Three of the buses each have 12 more students than the third bus. How many students are on each of the buses?

Bus 3 = 41 students

Bus 1, 2, 4 = 53 students each

Step-by-step explanation:

200 = the total amount of students

x = the amount of students on bus 3

x + 12 = the amount of students on each of the other three buses (bus 1, 2, 4)

200 = x + 3(x+12)

200 = x + 3x + 36

200 = 4x + 36

164 = 4x

41 = x

Since x = 41, there were 41 students on bus 3. Since there were 12 more students on each of the other three buses, each one had 53 (41 + 12 = 53).

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:

do you mean add both of the equations together

because if you do the answer is 10x-5

step-by-step explanation: