Respuesta :
Answer:
C. [tex]7+\frac{45}{n}[/tex]
Step-by-step explanation:
We are asked to choose the expression, which has a value of 16, when n=5.
Let us check our options one by one by substituting n=5 in the given expressions.
A. [tex]\frac{25}{n}+7[/tex]
Upon substituting n=5 in our expression we will get,
[tex]\frac{25}{5}+7[/tex]
[tex]5+7[/tex]
[tex]12[/tex]
As we got 12 from solving our expression, therefore, option A is not a correct choice.
B. [tex]30-3n[/tex]
Upon substituting n=5 in our expression we will get,
[tex]30-3\times 5[/tex]
[tex]30-15[/tex]
[tex]15[/tex]
As we got 15 from solving our expression, therefore, option B is not a correct choice either.
C. [tex]7+\frac{45}{n}[/tex]
Upon substituting n=5 in our expression we will get,
[tex]7+\frac{45}{5}[/tex]
[tex]7+9[/tex]
[tex]16[/tex]
As we got 16 from solving our expression, therefore, option C is the correct choice.
D. [tex]n^3-114[/tex]
Upon substituting n=5 in our expression we will get,
[tex]5^3-114[/tex]
[tex]125-114[/tex]
[tex]11[/tex]
As we got 11 from solving our expression, therefore, option D is not a correct choice.
