Answer:
[tex]Balance-28=-0.25(Months-8)[/tex]
Step-by-step 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 [tex](8,28)[/tex] and the slope of the line that represents it is [tex]m=-0.25[/tex].
Then, we recur to the point-slope formula
[tex]y-y_{1} =m(x-x_{1} )[/tex], where [tex]x_{1}=8[/tex] and [tex]y_{1}=28[/tex], replacing these values, we have
[tex]y-y_{1} =m(x-x_{1} )\\y-28=-0.25(x-8)[/tex]
Where [tex]y[/tex] is BALANCE and [tex]x[/tex] is MONTHS. So,
[tex]Balance-28=-0.25(Months-8)[/tex]
Therefore, the right answer is the choice at the upper right corner
[tex]Balance-28=-0.25(Months-8)[/tex]