a union charges each employee a one-time $100 initiation fee plus $25.00 union dues eachh month. my equation for the function is y=$25 x + 100. how do i graph the function for the domain of 0 months to 12 months. please help
y = 25x+100
see
http://www.wolframalpha.com/input/?i=plot+y%3D25x%2B100+for+0%3C%3Dx%3C%3D12
desmos.com is also great for graphing
make a table
x is 0 thru 12
y is dependent on x (use your equation)
To graph the given function, y = $25x + $100, for the domain of 0 months to 12 months, you can follow these steps:
1. Set up a coordinate system: Draw two perpendicular lines intersecting at a point, forming a grid. The horizontal line represents the x-axis (months), and the vertical line represents the y-axis (cost).
2. Determine the scale: Label the x-axis with the numbers from 0 to 12, representing the months, and the y-axis with appropriate values representing the cost.
3. Plot the initial point: Locate the point (0, 100) on the graph. This point corresponds to 0 months (x = 0) and $100 (y = 100) on the y-axis. Mark this point on the graph.
4. Plot the second point: To find the second point, substitute x = 1 into the equation y = $25x + $100. This gives y = $25(1) + $100 = $25 + $100 = $125. So, at 1 month (x = 1), the cost (y) is $125. Plot this point on the graph.
5. Connect the points: Using a ruler or a straight edge, draw a straight line that passes through the two points plotted on the graph. This line represents the graph of the function y = $25x + $100.
6. Determine the domain: Since the problem states that the domain should be from 0 months to 12 months, make sure the graph only includes the points within this range.
7. Add axis labels and a title: Label the x-axis as "Months" and the y-axis as "Cost." Give the graph an appropriate title, such as "Union Cost Graph."
Remember to ensure the graph accurately represents the equation by checking that additional points, such as (2, $150), (3, $175), and so on, lie on the line you've drawn.