PLs help.

12.5 hours

Step-by-step explanation:

the student worked one extra day, so they'll get an extra 15.

use this formula

h=hours

8h+15=115

8h+15-15=115-15

8h=100

8h/8=100/8

h=12.5

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:

47 - 90 = 43

43 - 180 = x

x = 137