Question

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Answer 1

Answer:

i posted a picture

Step-by-step explanation:

Answer 2

Answer:

Valid solution:   (35,5)

Time constraint:  x+y≤40

Earning constraint:  25x+15y≥900

Step-by-step explanation:

x denote the number of hours Chris spends tutoring.

and y denotes the number of hours he spend referring.

It is given that:

• Chris can work a maximum of 40 hours per week.

so, the inequality that can be formed using this information is:

                x+y≤40.

( Since he can't work more than 40 hours per week )

Similarly,

• His tutoring job pays $25 per hour and he also makes $15 per hour refereeing soccer matches.

He needs to make atleast $ 900 in order to cover his expenses.

So, the inequality is:

                25x+15y≥900

Hence , we plot the graph of these system of inequalities to find the solution.

We see that the point:

(35,5) lies on the boundary line and hence it is a valid solution to the system of inequalities.

whereas the point (32,9) lies out of the feasible region and hence is not a valid solution.