I feel that it is expedient to understand the objectives listed above the problem that you need help with in order to properly understand linear functions. With that being said, I will explain each objective.
63. Compare a linear function represented in a table to a linear function represented in a graph. EXPLANATION: in order to do this, you must realize what information is given in a graph verses in a table. The table JUST presents you with x-values and y-values for the function, while a graph gives you a picture that shows the y and x intercepts. There are multiple ways that you can compare the equation represented by the table to the equation represented by the graph, but the way I would do it is to find the equations of both lines.
64-66. Determine if a function is linear or nonlinear. EXPLANATION: By looking at a graph, you can tell if a function is linear if it is a strait line. If it has curves, then it is not linear. If you only have the equation of the function, just look at the highest exponent, and if it is x (technically x^1), then it is linear. (That's if there are no variables under radicals or in denominators.)
68. Determine the slope of two distinct points on the same line. EXPLANATION: To determine the slope between two distinct points on a line, use the slope formula... (y2-y1)/(x2-x1)
72. Determine the x and y intercept of the line based on its graph. EXPLANATION: The x intercept of a graph is where it crosses the x-axis, and the y intercept of the graph is where it crosses the y-axis. Just look and you will be able to determine the x and y intercepts.
73. Solve two step equations. EXPLANATION: The easy thing to remember about solving any kind of equation is to do 'reverse order of operations.' This is because you are undoing what has already been done. By doing this, you can solve an equation.
This just about covers the concepts you must know in order to fully understand linear functions.
The garden area is maximum when the enclosure is a square. If a is the length of the side of the square then the length of the building is also a. The perimeter length is 4a made up of 81+a feet, so 81+a=4a and 3a=81 making a=27 feet.
