The floor of a canyon has an elevation of - 14.5-14.5 feet. Erosion causes the elevation to change by - 1.5-1.5 feet per year. How many years will it take for the canyon floor to have an elevation of - 31-31 feet?

Question

Mathematics

Blake Moody

5 October, 21:47

The floor of a canyon has an elevation of - 14.5-14.5 feet. Erosion causes the elevation to change by - 1.5-1.5 feet per year. How many years will it take for the canyon floor to have an elevation of - 31-31 feet?

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Dario Wang · Answer 1

The canyon starts at an elevation of (-14.5). After each year, the elevation drops by (-1.5). The equation that could be written for this, then, would be (-14.5 - 1.5x = - 31). First, we could add 14.5 to both sides of the equation to isolate the unknown. This would leave - 1.5x = - 16.5. Next, we can remove the negative signs so both sides of the equation are positive and easier to work with. This leaves 1.5x = 16.5. Finally, dividing both sides by 1.5 gives us "x = 11", which means that after 11 years, the canyon floor will be at - 31 feet.