Question

this graph shows how the time required to screen-print a batch of shirts is related to the number of shirts in the batch.
screen-printing shirts
how long does it take to screen-print a batch of 5 shirts?
7 minutes 9.5 minutes
7.5 minutes 4.5 minutes

Explanation:

Step1: Analyze the graph axes

The x - axis is the number of shirts (from 0 to 10), and the y - axis is time in minutes (from 0 to 10). The line represents the relationship between the number of shirts and time.

Step2: Locate the point for 5 shirts

Find the x - value of 5 on the x - axis. Then, move up vertically until we meet the line of the graph, and then move horizontally to the y - axis to find the corresponding time.
Looking at the graph, when the number of shirts (x) is 5, we can see that the y - value (time) is 7.5 minutes? Wait, no, let's re - check. Wait, the y - intercept is at (0, 0.5)? Wait, no, the starting point is at (0, 0.5)? Wait, no, the graph starts at (0, 0.5)? Wait, no, looking at the grid, each square is 1 unit. Wait, when x = 0, y is 0.5? No, the first grid line on the y - axis is 1? Wait, the y - axis is labeled from 0 to 10, with 0 at the bottom. Wait, the line starts at (0, 0.5)? No, maybe I misread. Wait, let's calculate the slope. Let's take two points. For example, when x = 1, what's y? When x = 1, y is 2? Wait, no, let's take x = 0, y = 0.5? No, the graph: when x = 0, the y - value is 0.5? Wait, no, the problem is to find for x = 5. Let's see, the line goes from (0, 0.5) to (7, 10)? No, maybe the slope is (y2 - y1)/(x2 - x1). Let's take two points: (0, 0.5) and (7, 10). The slope would be (10 - 0.5)/(7 - 0)=9.5/7≈1.357. But maybe a better way: when x = 5, we look at the graph. Wait, the options are 7, 9.5, 7.5, 4.5. Wait, maybe the y - intercept is 0.5, and the slope is 1.4? Wait, no, let's count the grid. Each square is 1 unit. So when x = 1, y is 2? No, when x = 1, moving up from x = 1, the line is at y = 2? Wait, no, the first point: (0, 0.5), (1, 2), (2, 3.5), (3, 5), (4, 6.5), (5, 8)? No, that doesn't match the options. Wait, maybe I made a mistake. Wait, the options are 7, 9.5, 7.5, 4.5. Wait, let's look again. Wait, the graph: when x = 5, the y - value is 7.5? Wait, no, maybe the correct way is: the line has a slope. Let's take two points: (0, 0.5) and (7, 10). No, that's not right. Wait, maybe the y - intercept is 0, and the slope is 1.3? No, the options include 7.5. Wait, maybe the answer is 7.5 minutes. Wait, let's check the graph again. The x - axis is number of shirts (0 - 10), y - axis is time (0 - 10). The line goes from (0, 0.5) up to (7, 10). Wait, when x = 5, let's calculate y. The equation of the line: y=mx + b. At x = 0, y = 0.5, so b = 0.5. At x = 7, y = 10, so 10 = 7m+0.5→7m = 9.5→m = 9.5/7≈1.357. Then for x = 5, y=1.357*5 + 0.5≈6.785+0.5 = 7.285, which is close to 7.5? Wait, maybe the graph is drawn with each square as 1 unit, and when x = 5, the y - value is 7.5. So the time to screen - print 5 shirts is 7.5 minutes.

Answer:

7.5 minutes