Abreakfast cereal company gives away a free toy in each box of cereal. there are four different toys. how many boxes do you expect to have to buy in order to get all four toys?

He can expect 4 boxes to have to buy in order to get all four toys.

Step-by-step explanation:

Since we have given that

Number of different toys = 4

According to question, A breakfast cereal company gives away a free toy in each box of cereal.

So, for each toy, there are needed 1 box.

so, for four toys, there are needed 4 boxes.

Hence, he can expect 4 boxes to have to buy in order to get all four toys.

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:

the answer is 99.