Linear Programming — Cumulative exam Answers

Consider the function represented by the equation x – y = 3. What is the equation written in function notation, with x as the independent variable?

What is the value of w in the solution to the following system of linear equations?

Brandi is downloading music for her MP3 player. Albums cost $10 each, and singles cost $1 each. She wants to purchase at least 5 singles but wants to spend no more than $25 total. If Brandi purchases x albums and y singles, which of the following is a possible combination of albums and singles that Brandi could purchase and stay within her guidelines?

What is the point of intersection when the system of equations below is graphed on the coordinate plane?

The constraints of a problem are listed below. What are the vertices of the feasible region?

Identify the graph that displays the speed of a car accelerating onto a highway until it reaches the speed limit, and then continuing on the highway at the speed limit. a. c. b. d. Please select the best answer from the choices provided

Mr. Valenzuela’s new bottle of shampoo contains 60 ounces of shampoo. He uses ounce of shampoo each time he washes his hair. Which equation can be used to find x, the number of washes after which 24 ounces will remain in the bottle?

A coordinate plane with 2 lines drawn. The first line is labeled f(x) and passes through the points (0, negative 2) and (1, 1). The second line is labeled g(x) and passes through the points (negative 4, 0) and (0, 2). The lines intersect at about (2.5, 3.2)

Mr. Lee asks a student to solve the following system of linear equations.Which ordered pair (p, q) is the solution to the system?

For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and determine the y-intercept. Decide which table best illustrates these values for the equation: Table A a b c up or down y-intercept 0 -4 0 down (0,0) Table B a b c up or down y-intercept 0 0 -4 down (0,-4) Table C a b c up or down y-intercept -4 0 0 down (0,0) Table D a b c up or down y-intercept -4 0 0 up (0,-4)

Which relation below represents a one-to-one function?

Raphael graphed the functions g(x)=x+2 and f(x)=x−1. How many units below the y-intercept of g(x) is the y-intercept of f(x)?

On a coordinate plane, a curved line with minimum values of (negative 0.44, negative 4.3) and (3, negative 4), and a maximum value of (1.7, 0.7), crosses the x-axis at (negative 2.5, 0), (1.3, 0), (2, 0), and (3.44, 0), and crosses the y-axis at (0, negative 4).

On a coordinate plane, a curved line with a minimum value of (negative 2, negative 6) and maximum values of (negative 3.75, 3) and (0.25, 13), crosses the x-axis at (negative 4, 0), (negative 3, 0), (negative 1, 0), and (1, 0), and crosses the y-axis at (0, 12).

Which ordered pair (r, s) is the solution to the given system of equations?

The constraints of a problem are listed below. What are the vertices of the feasible region?

How many solutions exist for the given equation?3(x + 10) + 6 = 3(x + 12)

A frozen yogurt shop offers a rewards system for frequent customers. The graph below represents how much a rewards customer pays based on the number of ounces of frozen yogurt purchased.

What is the minimum value of C = 7x + 8y, given the constraints on x and y listed below?

For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and determine the y-intercept. Decide which table best illustrates these values for the equation: Table A a b c up or down y-intercept 1 -6 0 up (0,0) Table B a b c up or down y-intercept 1 0 0 up (0,-6) Table C a b c up or down y-intercept 1 6 0 up (0,0) Table D a b c up or down y-intercept 1 -6 0 down (0,0)