Andreamathematics

The linear function is popular in economics. It is attractive because it is simple and easy to handle mathematically. It has many important applications. Linear functions are those whose graph is a straight line. A linear function has the following form y = f(x) = a + bx A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y. a is the constant term or the y intercept. It is the value of the dependent variable when x = 0. b is the coefficient of the independent variable. It is also known as the slope and gives the rate of change of the dependent variable. Graphing a linear function To graph a linear function: 1. Find 2 points which satisfy the equation 2. Plot them 3. Connect the points with a straight line Example: y = 25 + 5x let x = 1 then y = 25 + 5(1) = 30 let x = 3 then y = 25 + 5(3) = 40 A simple example of a linear equation A company has fixed costs of...

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The area of Robin’s rectangular room is 100 square feet. If the width of the room is 5 feet, then what is its length? A. 25 B. 10 C. 30 D. 20 The area of a rectangular pool is 500 square feet. If the width of the pool is 20 feet, then what is its length? A.    25 B.    45 C.    50 D.    20 The length of a rectangular duck pond is 18 yards. Its area is 216 square yards. What is its width? A.    15 B.    24 C.    20 D.    12 Amber just bought a new rectangular desk in her office which is 3 feet wide and 5 feet long. Her office floor is 10 feet by 10 feet in size. Find the total area of space left in the office after the desk is brought in. A.    15 B.    100 C.    85 D.    115 Jamie needs to cut the grass of his rectangular garden which is 20 yards wide and 34 yards long. There is a square deck that measures 4 yards on o...