# Take the real-life situation and create an equation or inequality that could be used for analysis, prediction, or decision making. Then, draw a graph to depict the variables in your situation. Use your graph and what you know about linear inequalities to discuss the significance of your findings.

My answer was: You have $5,000 in your checking account (0% interest). At the end of each year, you put $10,000 into your checking account. An equation for how much money is in your checking account can be seen below: M = 10,000Y + 5,000 The slope (10,000) tells you how much money you make per year. (rise / run) = (money / year)

I am not good at graph at all I don't understand them so if some can explain how to do a graph for this problem then I could do the next one on my own. Thank you

You will need only the first quadrant of the x-y grid.

Label your x-axis as "time" with 1 unit as 1 year, and your vertical axis as "money" or "income", using a suitable scale such as 1 unit=$5000

you will get a straight line (with (0,5000) and (2, 25000) as two points you might want to use to draw that line)

create an equation or inequality that could be used for analysis, prediction, or decision making in weight loss

4x + y > 6

## To graph the equation, we can use the slope-intercept form, which is y = mx + b. In this equation, x represents time (in years) and y represents the amount of money in your checking account.

Given the equation: M = 10,000Y + 5,000

We can rewrite it in the slope-intercept form as:

Y = (1/10,000)M - (1/10,000)5,000

Now, let's plot the graph using the given information.

- Start by labeling the x-axis as "time" with 1 unit representing 1 year.

- Label the y-axis as "money" or "income" using a suitable scale, such as 1 unit = $5000.

- Plot the point (0, 5000) on the graph, which represents the initial amount of money in your checking account.

- Plot the point (2, 25000) on the graph, which represents the amount of money in your checking account after 2 years.

Now, let's draw a straight line passing through these two points. The line will represent the change in money over time, according to the given equation.

Using a ruler, draw a line that connects the two plotted points. Make sure the line extends beyond the plotted points on both sides of the graph to show that it continues indefinitely.

By analyzing the graph, you can observe that the line has a positive slope, indicating that the amount of money in your checking account increases over time. The steeper the slope, the faster your money grows. The line intersects the y-axis at $5000, which represents the initial amount of money you had in your checking account.

Overall, the graph demonstrates how the equation M = 10,000Y + 5,000 represents the growth of money in your checking account over time, allowing for analysis, prediction, or decision-making based on this real-life situation.

## To graph the equation 4x + y > 6, you will need to follow these steps:

1. Start by drawing a coordinate system grid on a piece of paper.

2. Label the horizontal axis as "x" and the vertical axis as "y".

3. Decide on a suitable scale for both axes, such as 1 unit = 1.

4. Take the inequality equation 4x + y > 6 and convert it into its standard form, which is y > -4x + 6.

5. To graph the inequality, you need to draw the line y = -4x + 6.

To do this, choose two points on the line. For simplicity, let's pick (0,6) and (2, -2) as two points on the line:

- When x = 0, y = 6.

- When x = 2, y = -2.

Plot these two points on the graph.

6. Since the inequality is y > -4x + 6, you need to determine whether the solution region lies above or below the line you just plotted. In this case, the solution region is above the line because we have a "greater than" sign.

7. To shade the solution region, you can shade above the line y = -4x + 6.

8. You can also draw a dashed line to represent the inequality, indicating that any point along the line itself is not part of the solution.

With these instructions, you should be able to accurately graph the equation 4x + y > 6.