Select the correct answer.A bottlenose dolphin is 10 feet below sea level. Then it begins to dive at a rate of 9 feet per second. What is the equation of the line that represents its elevation, y, after x seconds? A. y = 9x − 10 B. y = -9x − 10 C. y = 9x + 10 D. y = -9x + 10
Question
Select the correct answer.A bottlenose dolphin is 10 feet below sea level. Then it begins to dive at a rate of 9 feet per second. What is the equation of the line that represents its elevation, y, after x seconds? A. y = 9x − 10 B. y = -9x − 10 C. y = 9x + 10 D. y = -9x + 10
Solution 1
The correct answer is B. y = -9x - 10.
Here's why:
The dolphin starts 10 feet below sea level, which is represented by -10 in the equation. Then, it dives at a rate of 9 feet per second. This rate is negative because the dolphin is going deeper, or further below sea level. Therefore, the rate is represented by -9 in the equation.
So, for every second that passes (each increase in x), the dolphin's depth (y) decreases by 9 feet. This relationship is represented by the equation y = -9x - 10.
Solution 2
The correct answer is B. y = -9x - 10.
Here's why:
The dolphin starts 10 feet below sea level, which is represented by -10 in the equation. Then, it dives at a rate of 9 feet per second. This rate is negative because the dolphin is going deeper, or further below sea level. Therefore, the rate is represented by -9 in the equation.
So, for every second that passes (each increase in x), the dolphin's depth (y) decreases by 9 feet. This relationship is represented by the equation y = -9x - 10.
Solution 3
The correct answer is B. y = -9x - 10.
Here's why:
The dolphin starts 10 feet below sea level, which is represented by -10 in the equation. Then, it dives at a rate of 9 feet per second. This rate is negative because the dolphin is going deeper below sea level, so it's represented by -9 in the equation.
The variable x represents time in seconds, and y represents the dolphin's elevation relative to sea level. So after x seconds, the dolphin's elevation is -9x - 10 feet.
Solution 4
The correct answer is B. y = -9x - 10.
Here's why:
The dolphin starts at -10 feet (below sea level), which is the y-intercept of the equation.
Then, the dolphin is diving, or going down, at a rate of 9 feet per second. This is the slope of the equation. Because the dolphin is going down, the slope is negative.
So, the equation that represents the dolphin's elevation after x seconds is y = -9x - 10.
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