Question

Here is a new piece of information: Diego bought a total of 2 pounds of raisins and walnuts combined. Write an equation to represent this new constraint. Let x: be the pounds of raisins and Let y : be the pounds of walnuts. Use graphing technology to graph the equation. Complete the table with the amount of one ingredient Diego could have bought given the other. Be prepared to explain or show your reasoning.

Answer 1

To represent the new constraint, the equation x + y = 2 is used. The table can be completed by substituting different values for x or y in the equation and solving for the other variable. The graph of the equation can be plotted using the points (0, 2), (1, 1), and (2, 0).

Step-by-step explanation:

To represent the new constraint, we can write the equation: x + y = 2. This equation represents the fact that the total pounds of raisins and walnuts combined is equal to 2 pounds. To graph this equation, we can plot the points (0, 2), (1, 1), and (2, 0) on a coordinate plane and connect them to form a straight line.

Now, to complete the table with the amount of one ingredient given the other, we can substitute different values for either x or y in the equation and solve for the other variable. For example, if we let x = 1, then y = 2 - 1 = 1. So, if Diego bought 1 pound of raisins, he must have bought 1 pound of walnuts. Similarly, if we let y = 1, then x = 2 - 1 = 1. So, if Diego bought 1 pound of walnuts, he must have bought 1 pound of raisins. You can continue this process to fill in the remaining values in the table.