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Many bank accounts never go below zero. But some banks will allow a negative balance, at least for a short time, called an overdraft. It means someone has taken out, or 'drafted', more money than was in the account to begin with. Mariam's account has gone into overdraft. Her balance is $-20.21. To get back to a positive balance, she plans to deposit money at a steady rate of $20.79 per week. How much will be in her account after 4 weeks?

Sagot :

Using a linear function, it is found that $62.95 will be in her account after 4 weeks.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For this problem, we have that:

  • The initial balance is the intercept.
  • The weekly deposit is the slope.

Hence, her balance after x weeks is given by the following function:

B(x) = -20.21 + 20.79x.

Her balance after 4 weeks is given by:

B(4) = -20.21 + 20.79(4) = $62.95.

Hence $62.95 will be in her account after 4 weeks.

More can be learned about linear functions at https://brainly.com/question/24808124

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