Question

this graph shows how the distance katy runs depends on the number of track practices attends.
how far katy runs
how many miles would katy have run after 7 track practices?
9 miles 7 miles 4 miles 8.5 miles

Explanation:

Step1: Analyze the graph

The graph has "Practices" on the x - axis and "Distance (miles)" on the y - axis. We need to find the distance when the number of practices (x - value) is 7.

Step2: Locate x = 7 on the graph

Find the point on the x - axis corresponding to 7 practices. Then, move up vertically until we meet the line of the graph, and then move horizontally to the y - axis to find the corresponding distance. From the graph, when x = 7, the y - value (distance) is 8. Wait, no, let's re - check. Wait, the y - intercept is 1.5? Wait, no, let's look at the slope. Wait, when x = 0, y = 1.5? Wait, no, the line passes through (0, 1.5)? Wait, no, looking at the grid: when x = 1, y = 2.5? Wait, no, maybe my initial analysis is wrong. Wait, the first point: when x = 0, y = 1.5? Wait, no, the graph starts at (0, 1.5)? Wait, no, the y - axis at x = 0 is at 1.5? Wait, no, the grid lines: the y - axis has marks at 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. The x - axis has marks at 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. Let's find two points on the line. When x = 0, y = 1.5? Wait, no, when x = 1, y = 2.5? Wait, no, maybe the line has a slope of 1? Wait, no, when x = 1, y = 2.5? Wait, no, let's check the options. The options are 9, 7, 4, 8.5. Wait, maybe the line is y = x+1.5? No, when x = 7, if we look at the graph, the line at x = 7, the y - value is 8.5? Wait, no, the correct way: the graph is a straight line. Let's find the equation of the line. Let's take two points: (0, 1.5) and (1, 2.5), slope m=(2.5 - 1.5)/(1 - 0)=1. So the equation is y=x + 1.5? No, when x = 7, y=7 + 1.5=8.5? Wait, but the options have 8.5. Wait, maybe the y - intercept is 1.5? Wait, the graph at x = 0 is at 1.5 (between 1 and 2). Then, for x = 7, y=7 + 1.5=8.5. So the answer should be 8.5 miles.

Answer:

8.5 miles