Question

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 months and y represents the amount of money left in her account. After how many months will Alma have $145 left in her account?

12 months
16 months
22 months
26 months

Answer 1

16 months

Explanation:

In order to find the number of months it will take for Alma's bank account to reach $145, we can plug in 145 for y and solve for x:

Step 1: Subtract 577 from both sides:

(145 = -27x + 577) - 577

-432 = -27x

Step 2: Divide both sides by -27 to solve for x:

(-432 = -27x) / -27

16 = x

Thus, it will take 16 months for Alma's account to reach $145.