Banneker

=__** Banneker **__ = = = ** ~Graphing Using Standard Form~ ** A and B are not both zero.
 * Definition: ** Standard Form of a Linear Equation is Ax + By = C, when A, B, and C are real numbers and

Example 2.) -2x-3y=-12  Solving for X: -2x-3y= -12 -2(x)-3(0)= -12 -2x-0= -12 -2x/-2 = -12/-2 x=6

Solving for Y: -2x -3y = -12 -2(0) -3(y) = -12 0 -3y = -12 -3y/-3 =-12/-3 y = 4

**__Examle of a Problem Solving Equation:__ ** Write an equation in standard form to find the number of minutes someone who weighs 150 lb would need to bicycle and swim laps in order to burn 300 Calories. Use the data below.

150-lb Person || Calories Burned per Minute ||  || Let y= the minutes spent swimming laps. 10x + 12y = 300 10(0) + 12y = 300 12y = 300 12y/12 = 300/12 y = 25
 * Activity by a
 * Bicycling || 10 ||
 * Bowling || 4 ||
 * <span style="font-family: 'Comic Sans MS',cursive;">Hiking || <span style="font-family: 'Comic Sans MS',cursive;">7 ||
 * <span style="font-family: 'Comic Sans MS',cursive;">Running 5.2 mi/h || <span style="font-family: 'Comic Sans MS',cursive;">11 ||
 * <span style="font-family: 'Comic Sans MS',cursive;">Swimming, laps || <span style="font-family: 'Comic Sans MS',cursive;">12 ||
 * <span style="font-family: 'Comic Sans MS',cursive;">Walking 3.5 mi/h || <span style="font-family: 'Comic Sans MS',cursive;">5 ||
 * <span style="color: #2600ff; font-family: 'Comic Sans MS',cursive;">Define : **<span style="font-family: 'Comic Sans MS',cursive;"><span style="color: #000000; font-family: 'Comic Sans MS',cursive;">Let x=the minutes spent bicycling.
 * Relate: ** 10 **times** minutes bicycling **plus** 12 **times** minutes swimming laps **equals** 300 calories
 * Write: ** 10x + 12y = 300
 * Solve: **

10x + 12y = 300 10x + 12(0) = 300 10x = 300 10x/10 = 300/10 x = 30

If someone weighs 150 lb they need to bicycle 25 minutes and swim laps for 30 minutes to burn three hundred calories.