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 weeks and y represents the amount of money left in her account. After how many weeks will Alma have $145 left in her account?
A. 12 weeks
B. 16 weeks
C. 22 weeks
D. 26 weeks

Answer 1

Answer:

Amount left in Alma's Account Equation:

• y = 577 - 27x

• x = Number of weeks
• y = Amount present

According to the equation, initially at Week 0, the amount present in Alma's account is given as:

⇒ y = 577 - 27 ( 0 )

⇒ y = $ 577

Now according to the question,

• y = $ 145
• x = ?

Substituting in the equation we get,

⇒ $ 145 = $ 577 - 27 x

⇒ 27 x = $ 577 - $ 145

⇒ 27 x = $ 432

⇒ x = $ 432 / 27

⇒ x = 16

Therefore after 16 weeks, Alma's account would have $ 145 balance.

Option ( B ) is the right answer.