Questions: 4) At the end of a runner's half marathon, they ended up 510 feet above sea level. What was their change in elevation if the start was -320 feet below sea level?

4) At the end of a runner's half marathon, they ended up 510 feet above sea level. What was their change in elevation if the start was -320 feet below sea level?
Transcript text: 4) At the end of a runner's half marathon, they ended up 510 feet above sea level. What was their change in elevation if the start was -320 feet below sea level?
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Solution

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Solution Steps

To find the change in elevation, we need to calculate the difference between the final elevation and the starting elevation. The starting elevation is given as -320 feet (below sea level), and the final elevation is 510 feet (above sea level). The change in elevation is the final elevation minus the starting elevation.

Step 1: Determine the Starting and Ending Elevations

The starting elevation is given as \( -320 \) feet (below sea level), and the ending elevation is \( 510 \) feet (above sea level).

Step 2: Calculate the Change in Elevation

To find the change in elevation, we use the formula: \[ \text{Change in Elevation} = \text{Ending Elevation} - \text{Starting Elevation} \] Substituting the values: \[ \text{Change in Elevation} = 510 - (-320) = 510 + 320 = 830 \]

Final Answer

The change in elevation is \\(\boxed{830}\\) feet.

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