Jerry wants to spend $30 and buy chips and/or sodas for his friends. Let x = # of chips and y = # of sodas.

Question

Match "True" with the statements that are True and "False" with the statements that are not True.

Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
2x + 3y = 30 is a correct equation in standard form
If you changed standard form into slope- intercept form, the slope would be positive
As the number of chips increases, the number of sodas would have to decrease in this scenario
The Domain - x values - inputs - could be fractions and decimals for this scenario

Answer 1

Here are the responses for the statements based on the given equation and context:

1. 2x + 3y = 30 is a correct equation in standard form - True

2. If you changed standard form into slope-intercept form, the slope would be positive - False
   (When converted to slope-intercept form \(y = mx + b\), the slope will be negative since \(y = -\frac{2}{3}x + 10\).)

3. As the number of chips increases, the number of sodas would have to decrease in this scenario - True
   (This reflects the trade-off represented by the equation.)

4. The Domain - x values - inputs - could be fractions and decimals for this scenario - False
   (Since x represents the number of chips, it must be a non-negative integer.)

So, the final matching is:

1. True
2. False
3. True
4. False