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

Respuesta :

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.

Answer:

B

Step-by-step explanation:

Right on edge 2020

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