The price of a visit to the dentist is \$50$50dollar sign, 50. if the dentist fills any cavities, an additional charge of \$100$100dollar sign, 100 per cavity gets added to the bill. if the dentist finds nnn cavities, what will the cost of the visit be? \

The cost of the visit to dentist is equal to

Step-by-step explanation:

Let

n------> the number of cavities

y------> the total cost of the visit to dentist

we know that

-----> linear equation that represent the cost of the visit to dentist

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: