Question
Adam has at least $25 in his wallet and no more than $375 in his savings. How can Adam represent this scenario as a system of linear inequalities, where w is the amount of money in his wallet and s is the amount of money in his savings?(1 point)
Responses
w>25
s≤375
w greater than 25 s less-than-or-eqaul-to 375
w≥25
s<375
w greater-than-or-equal-to 25 s less than 375
w≥25
s≤375
w greater-than-or-equal-to 25 s less-than-or-eqaul-to 375
w≥25
s>375
Responses
w>25
s≤375
w greater than 25 s less-than-or-eqaul-to 375
w≥25
s<375
w greater-than-or-equal-to 25 s less than 375
w≥25
s≤375
w greater-than-or-equal-to 25 s less-than-or-eqaul-to 375
w≥25
s>375
Answers
GPT-4o mini
To represent the scenario given, we need to express Adam's constraints as a system of linear inequalities using \( w \) for the amount of money in his wallet and \( s \) for the amount of money in his savings.
The requirements are:
- Adam has at least $25 in his wallet: This means \( w \) should be greater than or equal to 25.
- Adam has no more than $375 in his savings: This means \( s \) should be less than or equal to 375.
So, the correct representation of this scenario as a system of linear inequalities is:
\[
w \geq 25
\]
\[
s \leq 375
\]
Among the options provided, this matches:
**w≥25**
**s≤375**
Therefore, the correct response is:
**w≥25, s≤375**
The requirements are:
- Adam has at least $25 in his wallet: This means \( w \) should be greater than or equal to 25.
- Adam has no more than $375 in his savings: This means \( s \) should be less than or equal to 375.
So, the correct representation of this scenario as a system of linear inequalities is:
\[
w \geq 25
\]
\[
s \leq 375
\]
Among the options provided, this matches:
**w≥25**
**s≤375**
Therefore, the correct response is:
**w≥25, s≤375**