While browsing at her local farmers' market, Lexi stops at a booth selling fancy candles and hand soaps. She has $50 to spend. Candles cost $12.50 each, and hand soaps cost $5 each.
Graph the inequality that represents how many candles, x, and hand soaps, y, Lexi can buy.
Plot points on the boundary line. Select the line to switch between solid and dotted. Select a region to shade it.
The inequality representing how many candles and hand soaps Lexi can buy with $50 is:
12.50x + 5y ≤ 50
Now we will graph this inequality:
First, we will find the intercepts:
For x-intercept:
12.50x + 5(0) = 50
12.50x = 50
x = 4
For y-intercept:
12.50(0) + 5y = 50
5y = 50
y = 10
Plotting these points on the graph and connecting them, we get the boundary line:
12.50x + 5y = 50
Now, let's shade the region below the line, since Lexi can buy less or equal to $50 worth of candles and hand soaps.
The graph should show a line passing through (4, 0) and (0, 10) and be shaded below the line.