Robin earned $4,320 in 9 weeks and worked 40 hours in each week. how much did he earn per hour? $ per hour

$12 per hour

Step-by-step explanation:

To solve how much did Robin earned per hour you just have to do a simple equation, we know that he worked 9 weeks, and that each week he worked 40 hours, so you equation would look like this:

The hours worked is just a math done by multiplying the weeks worked by the hours worked per week that would be:

So now we just put the data into our equation

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:

so, converting firstly the mixed fractions to improper fractions and then "adding".