Question

Which is the correct statement about the description two less than the quotient of a number cubes and sixteen, increased by eight when n=4?

A. 12
B. 7
C. 16
D. 8

Answer 1

When n=4, the mathematical expression that comes from the given description is (((4^3) / 16) - 2) + 8. Calculating this yields a result of 10, which is not among the provided options A, B, C, or D.

Step-by-step explanation:

To answer the question, first we need to translate the description into a mathematical expression using the given value of n=4. The description is 'two less than the quotient of a number cubes and sixteen, increased by eight.'

So, the steps we follow are:

1. Cube the number n: n^3
2. Find the quotient of this cube and sixteen: (n^3) / 16
3. Subtract two from the result of step 2: ((n^3) / 16) - 2
4. Finally, increase that result by eight: (((n^3) / 16) - 2) + 8

Now, substituting n with 4, we have:

((4^3) / 16) - 2 + 8 = (64 / 16) - 2 + 8 = 4 - 2 + 8 = 2 + 8 = 10

Therefore, the correct statement about the description when n=4 is none of the given options A, B, C, or D, since the result is 10, and this option is not listed.