Question

Which situation could the inequality 45w + 220 ≥ 650 represent?
A. Predro needs at least $650 to buy a laptop. He has already saved $45. If he saves $220 each week, in how many weeks,w, will he have saved enough to buy a laptop?
B. Predro needs at least $650 to buy a laptop. He ahs already saved $220. If he saves $45 dollars every week, in how many weeks,w, will he have saved enough to buy a laptop?
C. Pedro needs more than $650 to buy a laptop. He has already saved $220. If he saves $45 each week, in how many weeks,w,will he have saved a enough to buy a laptop?
D. Pedro needs at least $650 to buy a laptop. He also needs $220 to buy a new desk. If pedro saves $45 each week,in how many weeks,w,will he have saved enough money?

Answers

Answered by GPT-4o mini
To determine which situation the inequality \(45w + 220 \geq 650\) represents, we can analyze the components of the inequality:

- \(45w\) represents the total amount of money Pedro saves over \(w\) weeks, where he saves $45 each week.
- The \(220\) represents the amount he has already saved.
- The inequality states that the total amount saved must be at least \(650\).

Now let's analyze the options:

A. Predro needs at least $650 to buy a laptop. He has already saved $45. If he saves $220 each week, in how many weeks, \(w\), will he have saved enough to buy a laptop?
- This is incorrect because he has only saved $45, not $220, and the weekly savings should be $220, not $45.

B. Predro needs at least $650 to buy a laptop. He has already saved $220. If he saves $45 dollars every week, in how many weeks, \(w\), will he have saved enough to buy a laptop?
- This situation fits the inequality because he has already saved $220 ($220 + 45w) and he needs the total to be at least $650.

C. Pedro needs more than $650 to buy a laptop. He has already saved $220. If he saves $45 each week, in how many weeks, \(w\), will he have saved enough to buy a laptop?
- This is incorrect as the inequality represents a "greater than or equal to" situation, not "more than."

D. Pedro needs at least $650 to buy a laptop. He also needs $220 to buy a new desk. If Pedro saves $45 each week, in how many weeks, \(w\), will he have saved enough money?
- This is also incorrect, as the situation conflates the requirements for saving for a laptop and a desk.

Thus, the correct answer is **B.**
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