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When did the object reach 150 meters? __ Where was the object at 9 seconds? __ Find the slope of the graph (must show work) __ What does the slope you just found stand for? __

Question

When did the object reach 150 meters?
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Where was the object at 9 seconds?
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Find the slope of the graph (must show work)
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What does the slope you just found stand for?
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When did the object reach 150 meters? __ Where was the object at 9 seconds? __ Find the slope of the graph (must show work) __ What does the slope you just found stand for? __

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JeromeElite · Tutor for 8 years

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To answer the questions, we will use the information provided about the graph of the distance versus time function.Step 1: Find the equation of the lineWe know two points on the line: (3, 100) and (8, 200). We can use these points to find the slope (m) of the line using the formula:m = (change in distance) / (change in time)m = (200 - 100) / (8 - 3)m = 100 / 5m = 20So the slope of the line is 20 meters per second.Step 2: Find the y-intercept (b) of the lineWe can use the slope and one of the points to find the y-intercept using the equation of a line: y = mx + b.Using the point (3, 100):100 = 20 * 3 + b100 = 60 + bb = 100 - 60b = 40So the y-intercept of the line is 40 meters.Step 3: Write the equation of the lineNow that we have the slope (m = 20) and the y-intercept (b = 40), we can write the equation of the line as:y = 20x + 40Step 4: When did the object reach 150 meters?To find out when the object reached 150 meters, we set y (distance) to 150 and solve for x (time):150 = 20x + 40150 - 40 = 20x110 = 20xx = 110 / 20x = 5.5The object reached 150 meters at 5.5 seconds.Step 5: Where was the object at 9 seconds?To find out where the object was at 9 seconds, we plug x = 9 into the equation of the line:y = 20 * 9 + 40y = 180 + 40y = 220The object was at 220 meters at 9 seconds.Step 6: The slope of the graphWe already calculated the slope in Step 1, which is 20 meters per second.Final Answer:The object reached 150 meters at 5.5 seconds.The object was at 220 meters at 9 seconds.The slope of the graph is 20 meters per second.The slope we found represents the speed of the object in meters per second since it is a distance versus time graph.
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