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Question
scientists are preparing two satellites to be launched. the graph below represents the number of miles, y, that the satellite, space explorer b, flies in x hours. (graph of space explorer b with points (5, 36000) and (10, 72000))
Assuming the problem is to find the slope (speed) of Space Explorer B, here's the solution:
Step1: Recall slope formula
The slope \( m \) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is \( m = \frac{y_2 - y_1}{x_2 - x_1} \).
Step2: Identify points
We have \( (x_1, y_1) = (5, 36000) \) and \( (x_2, y_2) = (10, 72000) \).
Step3: Calculate slope
Substitute into the formula: \( m = \frac{72000 - 36000}{10 - 5} = \frac{36000}{5} = 7200 \).
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The slope (speed) of Space Explorer B is 7200 miles per hour.