Question

yards of fabric remaining
if haley sews 2 dresses, how many yards of fabric will she have left?
3.5 yards of fabric
5.5 yards of fabric
0.5 yards of fabric
1.5 yards of fabric

Explanation:

Step1: Analyze the graph

The x - axis represents the number of dresses sewn, and the y - axis represents the yards of fabric remaining. We need to find the value of y when x = 2.

Step2: Find the equation of the line (optional, but helps)

We can see that the line passes through (0, 7.5) (wait, actually looking at the graph, when x = 0, y = 7.5? Wait no, the initial point: when x = 0, the y - intercept seems to be 7.5? Wait, no, let's check the slope. From (0, 7.5) to (4, 0), the slope $m=\frac{0 - 7.5}{4-0}=-\frac{7.5}{4}=- 1.875$. But maybe easier to just look at the graph. When x = 2, we can see from the line that the y - value (yards remaining) is 3.5? Wait no, wait the first line: wait the graph has two parts? Wait no, the dark line: when x = 0, y = 7.5? Wait no, the y - axis at x = 0: the dark line starts at (0, 7.5) and goes to (4, 0). So the equation is $y=7.5-1.875x$. When x = 2, $y = 7.5-1.875\times2=7.5 - 3.75 = 3.75$? Wait no, maybe my initial reading is wrong. Wait the options have 3.5. Wait maybe the y - intercept is 7? Wait the graph: at x = 0, the dark line is at y = 7.5? Wait the grid: each square is 0.5? Wait the y - axis: from 0 to 10, with each grid line 1 unit? Wait no, the first dark line: when x = 0, y is 7.5? Wait the options: 3.5, 5.5, 0.5, 1.5. Wait maybe I misread the graph. Wait the dark line: when x = 0, y = 7.5? No, let's look again. The problem is about Haley sewing dresses. The dark line: when x = 0 (no dresses sewn), fabric is 7.5 yards? Wait no, the first point: when x = 0, the y - value is 7.5? Then when x = 4, y = 0. So the rate is 7.5 yards for 4 dresses, so per dress is 7.5/4 = 1.875 yards per dress. So for x = 2 dresses, fabric used is 2*1.875 = 3.75 yards, so remaining is 7.5 - 3.75 = 3.75, but the option is 3.5. Wait maybe the y - intercept is 7. So if y = 7 - (7/4)x. When x = 2, y = 7 - 3.5 = 3.5. Ah, that matches the option. So when x = 2 (2 dresses sewn), the yards remaining is 3.5.

Answer:

3.5 yards of fabric