Question

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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

Answer 1

Answer:

16 weeks

Step-by-step explanation:

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Answer 2

Answer:

16 weeks

Step-by-step explanation:

$y = -27x + 577$

Since y represents the amount of money left in her account, we can replace it with $145 to solve for x (number of weeks)

$145=-27x+577$

Switch sides:

$-27x+577=145$

Subtract 577 from both sides:

$-27x+577-577=145-577$

$-27x=-432$

Divide both sides by -27:

$\frac{-27x}{-27}=\frac{-432}{-27}$

$x=16$

After 16 weeks, Alma will have $145 left in her account.