Answer:
A
Explanation:
To rite the equation of the function, take two points from the table. Let them be (1,21) and (3,15).
The slope of the function is
![(21-15)/(1-3)=(6)/(-2)=-3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/lnnyt114ggyvuz89xxt6njqh5er5df0jzb.png)
Thus, the equation of the function in slope-intercept form is
![f(n)=-3n+b](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ymwqkwordl9pbhj0b9glrek3z586raefbx.png)
Find b by substituting coordinates of the first point into the function expression:
![21=-3\cdot 1+b\\ \\b=21+3\\ \\b=24](https://img.qammunity.org/2020/formulas/mathematics/middle-school/u4fr3p9b37a9w1v81b06m6xa5cpcat3yeo.png)
Therefore,
![f(n)=-3n+24](https://img.qammunity.org/2020/formulas/mathematics/middle-school/mwd49cfpx86h02n5i9jqfnivvgvqy3x9br.png)