Question

Keith has $500 in a saving account at the beginning of the summer. He wants to have at

least $200 in the account. He withdraws $25 from his account each week for food,
clothes, and movie tickets. ("Withdraws" means he takes money out of his account.)
How many weeks can he withdraw $25 per week and still have at least $200 in the
account?


There’s a second question to this problem:
How many weeks can Keith withdraw $25 per week and still have at least $200 in the account? Write your answer in interval notation.

Answer 1

12 weeks

Explanation:

x=# of weeks

500-25x
`\geq`200

-500 -500

____________

-25x
`\geq` -300

-25 -25

x
`\leq` 12 weeks

Answer 2

12 weeks

Explanation:

25x = 300

so 25 times what equals 300, or the amount he can spend before going under 200 in his account.

25 (times) 12 = 300