The amount of money left in Alma's bank account is expressed by the linear equation y = -27x + 577, where x represents the number of weeks and y represents the amount of money left in her account. After how many weeks will Alma have $145 left in her account? 12 weeks 16 weeks 22 weeks 26 weeks

Given:

The linear equation is

where x represents the number of weeks and y represents the amount of money left in Alma's account.

To find:

The number of weeks in which Alma have $145 left in her account.

Solution:

We have,

Substitute y=145, we get

Subtract both sides by 577.

Divide both sides by -27.

So, the number of required weeks is 16. Therefore, the correct option is B.