Option 1 - StartFraction n Over 2 EndFraction minus 6 + 10; when n = 8, the value is 8.
Explanation:
Given : Expression "six less than the quotient of a number and two, increased by ten".
To find : What is the expression and value of expression when n = 8?
Solution :
Let the number be 'n'.
The quotient of a number and two i.e.
![(n)/(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/16jjebmuw0dbgsn10a91ul41ikxv4bzjsr.png)
Six less than the quotient of a number and two i.e.
![(n)/(2)-6](https://img.qammunity.org/2021/formulas/mathematics/middle-school/3qnof1nzoinvbdkitpg0uoyrkcnmdpw52t.png)
Six less than the quotient of a number and two, increased by ten i.e.
![(n)/(2)-6+10](https://img.qammunity.org/2021/formulas/mathematics/middle-school/x9k05klvrrez9ubhsm01djxuxyln3gwhr4.png)
The required expression is
.
Now, when n=8,
![(n)/(2)-6+10=(8)/(2)-6+10](https://img.qammunity.org/2021/formulas/mathematics/middle-school/fud247uqpd7nl6r716mwuqsyp1ree2b8rq.png)
![(n)/(2)-6+10=4-6+10](https://img.qammunity.org/2021/formulas/mathematics/middle-school/sg9b1jn3qp44kmqkiv0w9hwldmlk5chcrb.png)
![(n)/(2)-6+10=8](https://img.qammunity.org/2021/formulas/mathematics/middle-school/wwa4m225qas6sv7v3i04mm68y0okbi6lxa.png)
The value of the expression is 8.
Therefore, option 1 is correct.
StartFraction n Over 2 EndFraction minus 6 + 10; when n = 8, the value is 8.