.a. A student earns $15 per hour for tutoring and $10 per hour c.
Graph the system of inequalities in part (b). Use only
as a teacher's aide. Let x = the number of hours each
the first quadrant and its boundary, because x and y are
week spent tutoring and y = the number of hours each
nonnegative.
week spent as a teacher's aide. Write the objective function d.
Evaluate the objective function for total weekly earnings
that describes total weekly earnings.
at each of the four vertices of the graphed region. [The
b. The student is bound by the following constraints:
vertices should occur at (3,0), (8,0), (3,17), and
• To have enough time for studies, the student can work
(8,12).]
no more than 20 hours per week.
• The tutoring center requires that each tutor spend at
e. Complete the missing portions of this statement: The student can earn the maximum amount per week by
least three hours per week tutoring.
° The tutoring center requires that each tutor spend no tutoring for
hours per week and working
as a teacher's aide for
hours per week. The
more than eight hours per week tutoring.
maximum amount that the student can earn each week
Write a system of three inequalities that describes these is $
constraints.
