You put some money in a bank account one year ago
You have not done anything with it since.
The bank takes out a low balance fee of $0,25 each month,
After 8 months, you had $28 in the account.
Choose the equation that best shows the money in your bank account over time.

You put some money in a bank account one year ago You have not done anything with it since The bank takes out a low balance fee of 025 each month After 8 months class=

Respuesta :

Answer: Balance-28=-0.25(months-8)

Step-by-step explanation:

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]