Question

VOLCANOES Deception Island in Antarctica and Kilauea in Hawaii are two volcanoes that erupted in the twentieth century. The height of Deception Island is 2119 feet shorter than the height of Kilauea. The height of Kilauea is 229 feet more than two times the height of Deception Island. Find the height of Kilauea.

A. 2,348 feet
B. 2,591 feet
C. 4,467 feet
D. 6,586 feet

Answer 1

The height of Kilauea is found by setting up two equations based on the given relationships between the heights of Kilauea and Deception Island. Solving the system of equations, it is determined that the height of Kilauea is 4009 feet, which does not match any of the provided answer choices.

Step-by-step explanation:

To determine the height of Kilauea, we can set up a system of equations based on the information given. Let's denote the height of Deception Island as D and the height of Kilauea as K. According to the question:

• The height of Deception Island is 2119 feet shorter than the height of Kilauea, which can be expressed as D = K - 2119.
• The height of Kilauea is 229 feet more than two times the height of Deception Island, which can be expressed as K = 2D + 229.

Now, we can substitute the expression for D from the first equation into the second equation:

• K = 2(K - 2119) + 229

Solving for K, we find:

• K = 2K - 4238 + 229
• K - 2K = -4238 + 229
• -K = -4009
• K = 4009

Therefore, the height of Kilauea is 4009 feet. Checking the answer options provided in the question, none of them match the calculated value. It appears there may have been an error in the question or the answer choices.