Question

Brenda has $500 in her bank account.Every week she withdraws $40 for miscellaneous expenses. How many weeks can she withdraw the money if she wants to maintain a balance of at least $200.what is the inequality for the situation and what is the answer

Answer 1

500-40x ≥ 200
-40x≥ -300
x ≤  7.5

$40 can be withdrawn from the account for 7 weeks if she wants to maintain a balance of at least $200.

Answer 2

Answer:

500 - 40x ≥ 200

x ≤ 7.5

Step-by-step explanation:

Given,

The initial balance in account = $ 500,

Amount withdrawn every week = $ 40,

So, the widraw amount in x weeks = 40x dollars,

Thus, the final balance in the account after x weeks = initial balance -  widraw amount

= ( 500 - 40x ) dollars

According to the question ,

Final balance ≥ $ 200

⇒ 500 - 40x ≥ 200

Which is the required inequality,

Subtracting 500 both sides,

-40x ≥ -300

40x ≤ 300   ( if a > 0 and b > 0, a > b ⇒ -a < -b )

⇒ x ≤ 7.5

Hence, she can week widraw the money in less than 7.5 weeks.