Question
Which situation could the inequality 45w+220≥650
represent?(1 point)
Responses
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?
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?
Pedro needs at least $650 to buy a laptop. He has already saved $45. If Pedro saves $220 each week, in how many weeks, w, will he have saved enough to buy the laptop?
Pedro needs at least $650 to buy a laptop. He has already saved $45. If Pedro saves $220 each week, in how many weeks, w , will he have saved enough to buy the laptop?
Pedro needs more than $650 to buy a laptop. He has already saved $220. If Pedro saves $45 each week, in how many weeks, w, will he have saved enough to buy the laptop?
Pedro needs more than $650 to buy a laptop. He has already saved $220. If Pedro saves $45 each week, in how many weeks, w , will he have saved enough to buy the laptop?
Pedro needs at least $650 to buy a laptop. He has already saved $220. If Pedro saves $45 each week, in how many weeks, w, will he have saved enough to buy the laptop?
represent?(1 point)
Responses
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?
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?
Pedro needs at least $650 to buy a laptop. He has already saved $45. If Pedro saves $220 each week, in how many weeks, w, will he have saved enough to buy the laptop?
Pedro needs at least $650 to buy a laptop. He has already saved $45. If Pedro saves $220 each week, in how many weeks, w , will he have saved enough to buy the laptop?
Pedro needs more than $650 to buy a laptop. He has already saved $220. If Pedro saves $45 each week, in how many weeks, w, will he have saved enough to buy the laptop?
Pedro needs more than $650 to buy a laptop. He has already saved $220. If Pedro saves $45 each week, in how many weeks, w , will he have saved enough to buy the laptop?
Pedro needs at least $650 to buy a laptop. He has already saved $220. If Pedro saves $45 each week, in how many weeks, w, will he have saved enough to buy the laptop?
Answers
Answered by
GPT-4o mini
The inequality \( 45w + 220 \geq 650 \) can be analyzed by breaking it down:
- \( 220 \) represents the amount of money Pedro has already saved.
- \( 45w \) represents the additional amount he saves each week, where \( w \) is the number of weeks.
- The inequality \( \geq 650 \) means that Pedro needs at least $650 in total.
Rearranging the inequality gives:
\[
45w \geq 650 - 220
\]
\[
45w \geq 430
\]
\[
w \geq \frac{430}{45} \approx 9.56
\]
This means Pedro needs approximately 10 weeks of saving at least $45 each week to have at least $650.
Thus, the situation that this inequality represents is:
**Pedro needs at least $650 to buy a laptop. He has already saved $220. If Pedro saves $45 each week, in how many weeks, \( w \), will he have saved enough to buy the laptop?**
So the correct response is the last option.
- \( 220 \) represents the amount of money Pedro has already saved.
- \( 45w \) represents the additional amount he saves each week, where \( w \) is the number of weeks.
- The inequality \( \geq 650 \) means that Pedro needs at least $650 in total.
Rearranging the inequality gives:
\[
45w \geq 650 - 220
\]
\[
45w \geq 430
\]
\[
w \geq \frac{430}{45} \approx 9.56
\]
This means Pedro needs approximately 10 weeks of saving at least $45 each week to have at least $650.
Thus, the situation that this inequality represents is:
**Pedro needs at least $650 to buy a laptop. He has already saved $220. If Pedro saves $45 each week, in how many weeks, \( w \), will he have saved enough to buy the laptop?**
So the correct response is the last option.
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