Q3. - Algebra 1

Question

Read each question. Then fill in the correct answer on the answer document provided by your teacher or on a sheet of paper.

The elevation of Black Mountain is 27 feet more than 16 times the lowest point in the state. If the elevation of the lowest point in the state is 257 feet, what is the elevation of Black Mountain?

A. 4,085 feet                       C. 4,139 feet

B. 4,103 feet                         D. 4,215 feet

Step-by-Step Solution

Answer

The elevation of the black mountain is 4085 feet.

Step 1. Given information.

The elevation of the lowest point in the state is $257$ feet.

The elevation of the black mountain is $27$ feet more than the $16$ times the lowest point in the state.

Step 2. To find the elevation of the black mountain.

Let, the elevation of the black mountain is $x$.

Because, elevation of the lowest point in the state is $257$ feet.

According to the given condition:

$\begin{array}{l}x+27=16\left(257\right)\\ \Rightarrow x+27=4112\\ \Rightarrow x=4112-27\\ \Rightarrow x=4085\end{array}$

Step 3. Conclusion.

The elevation of the black mountain is $4085$ feet.

Hence, the correct option is A.