Answer:
![Balance-28=-0.25(Months-8)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/rkj4gi5b42b13kqu60k3dyl2j6lyd83x6j.png)
Explanation:
Givens
- Tha bank takes out $0.25 each month. This means the constant ratio of variatio is 0.25 and has to be negative, because it represents a decreasing ratio.
- After 8 months, you had $28.
So, basically, we need to think this from a linear model persepective, where the given point is
and the slope of the line that represents it is
.
Then, we recur to the point-slope formula
, where
and
, replacing these values, we have
![y-y_(1) =m(x-x_(1) )\\y-28=-0.25(x-8)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/cxbvnhw7g5x2m2al5o291sp55ezn088ate.png)
Where
is BALANCE and
is MONTHS. So,
![Balance-28=-0.25(Months-8)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/rkj4gi5b42b13kqu60k3dyl2j6lyd83x6j.png)
Therefore, the right answer is the choice at the upper right corner
![Balance-28=-0.25(Months-8)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/rkj4gi5b42b13kqu60k3dyl2j6lyd83x6j.png)