Questions: After watching some fish 55 feet below the surface of the water, a scuba diver went up 20 feet to explore a coral reef. Use a number line to help you create an equation that shows the location of the coral reef in relation to the water's surface. Interpret the sum in the context of the problem. A. The equation is -55+20=-75. The coral reef is 75 feet below the water's surface. B. The equation is -55+20=-35. The coral reef is 35 feet below the water's surface. C. The equation is -55+(-20)=-35. The coral reef is 35 feet below the water's surface.

After watching some fish 55 feet below the surface of the water, a scuba diver went up 20 feet to explore a coral reef. Use a number line to help you create an equation that shows the location of the coral reef in relation to the water's surface. Interpret the sum in the context of the problem. A. The equation is -55+20=-75. The coral reef is 75 feet below the water's surface. B. The equation is -55+20=-35. The coral reef is 35 feet below the water's surface. C. The equation is -55+(-20)=-35. The coral reef is 35 feet below the water's surface.
Transcript text: After watching some fish 55 feet below the surface of the water, a scuba diver went up 20 feet to explore a coral reef. Use a number line to help you create an equation that shows the location of the coral reef in relation to the water's surface. Interpret the sum in the context of the problem. A. The equation is $-55+20=-75$. The coral reef is 75 feet below the water's surface. B. The equation is $-55+20=-35$. The coral reef is 35 feet below the water's surface. C. The equation is $-55+(-20)=-35$. The coral reef is 35 feet below the water's surface.
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Solution

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Solution Steps

Step 1: Represent the initial depth of the fish.

The fish are at a depth of 55 feet below the surface. We can represent this as -55 on the number line.

Step 2: Represent the diver's ascent.

The diver ascends 20 feet. This is represented as moving 20 units to the right (or adding 20) on the number line.

Step 3: Write the equation and calculate the final depth.

The equation is \(-55 + 20 = -35\).

Step 4: Interpret the result.

The result -35 means the coral reef is 35 feet below the surface of the water.

Final Answer

\\(\boxed{B}\\) The equation is $-55+20=-35$. The coral reef is 35 feet below the water's surface.

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