You were recently hired by a company and will receive a starting salary of $45,000 per year. You will receive a $2,500 raise each year you are with the company. How many years will it take for your salary to be $105,000 per year?

4

Step-by-step explanation:

105,000-45,000=60,000

60,000 ÷2,500=4

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: