Given:
The linear equation is
[tex]y=-27x+577[/tex]
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,
[tex]y=-27x+577[/tex]
Substitute y=145, we get
[tex]145=-27x+577[/tex]
Subtract both sides by 577.
[tex]145-577=-27x[/tex]
[tex]-432=-27x[/tex]
Divide both sides by -27.
[tex]\dfrac{-432}{-27}=\dfrac{-27x}{-27}[/tex]
[tex]16=x[/tex]
So, the number of required weeks is 16. Therefore, the correct option is B.