Afeasible region is bounded by the constraints:     20 20 4 5 0.25 y x y x y x            the objective function is p = 3x + 5y.  (a) graph the feasible region.

(b) find the value of the objective function at each vertex of the feasible region.

(c) what is the minimum value of the objective function, p?

(d) at which vertex point does the minimum value occur?

show all work. math | graded assignment | semester a test, part 2 © 2016 k12 inc.

all rights reserved. page 2 of 3 copying or distributing without k12’s written consent is prohibited.  (score for question 3: of 10 points)  2. in 2010, the population of a town was 8500.  the population decreased by 4.5% each year.

(a) write an equation to find the population of the town t years after 2010.

(b) in what year will the population of the town be 7000?   show your work.

math | graded assignment | semester a test, part 2 © 2016 k12 inc. all rights reserved. page 3 of 3 copying or distributing without k12’s written consent is prohibited. (score for question 2: of 10 points)

3. consider the function       3 2 f x x x x 3 10 13 20 .

(a) determine the x-intercepts of f x  .

(b) determine the y-intercept of f x  .

(c) identify a point in between each of the x-intercepts of f x  .

(d) determine the end behavior of f x  .

(e) use the points and end behavior from parts (a) – (d) to graph f x  . label the scale of each axis.