Question

2. Paris has $500 in a savings account at the beginning of the summer. She wants to have at least $200 in the account by the end of the summer. She withdraws $25 each week for food and clothes. a. Write an inequality that represents Paris's situation. b. How many weeks can Paris withdraw money from her account? Justify your answer.

Answer 1

a) 500 -25x ≥ 200 b) 12 weeks

1) Gathering the data

$500

At least : ≥ 200

Withdrawal = -25

A) Since she wants at least 200 in the account, and the summer has 12 weeks, We can write this inequality:

500 - 25x ≥ 200

B) To find how many weeks we need to solve an equation

500-25x= 200

-25x = 200 -500

-25x = -300

25x = 300

x=12

Under these conditions, 12 weeks in the 13th week she won't be able to keep at least $200 in her account with these weekly withdrawals