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One Variable Inequality questions?
I need major help here. I dont know what to do and could someone solve this for me, then explain how they got it so I know for next time?
Mary has $2000 in the bank. If she withdraws $150 a week for food and entertainment, then how many weeks can Mary withdraw money so that her account maintains at least $200?
a) Highlight important information and key words needed to solve the problem.
b) Identify variables.
c) Model the inequality.
d) Solve.
e) Write your answer in a complete sentence.
f) Check or justify your answer.
1 Answer
- Marley KLv 76 years agoFavorite Answer
a) can't do the actual underlining for you, but I'd go with:
-has $2000-
-withdraws $150 a week-
-how many weeks-
-at least $200-
b) variable: let w = number of weeks
c) inequality: 2000 - 150w ≥ 200
d) solve:
2000 - 150w ≥ 200
subtract 2000 from both sides:
-150w ≥ -1800
divide both sides by -150, reversing the inequality:
w ≤ 12
e) In order to maintain at least $200 in her account, Mary can withdraw $150 per week for 12 weeks or less.
f) check/justify:
if she withdraws $150 for 12 weeks, she has withdrawn 12X150 = $1800.
$2000 - 1800 = $200 still in account.
hope this helps!
