Question

Elise has budgeted $800 in her checking account to spend during the summer for entertainment. She would like to have at least $200 available at the end of summer. If Elise withdraws $50 per week, which inequality could she use to determine the greatest number of weekly withdrawals (w) she can make without exceeding her budget?
A) 200 + 50w > 800
B) 800 − 50w ≥ 200
C) 800 + 50w ≥ 200
D) 800 − 50w > 200

Answer 1

The answer is B. Start with the amount she can not go below. 200. That means the the amount can be greater than or equal to $200. Than you have the starting amount(800). Every week you withdrawal(take away) 50. So it would be subtraction. Your inequality would look like B. That is why the answer is B.

Answer 2

The answer is B because you are takin away $50 a week. $200 is what she wants to have at the end off the summer. So that automaticly means it is ≥ 200. She is TAKING AWAY $50 a week. Meaning - 50w ≥ 200. Finally she has $800 to begin with. So, 800 - 50w ≥ 200.

Sorry if l am not very well at explaining this kind of stuff. Let me know if you need anymore help!!