Question
Adam has at least $25 in his wallet and no more than $375 in his savings how can Adam represent the 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
W is greater than or equal to 25 s is greater than 375 w is greater than or equal to 25 s is less than or equal to 375 w is greater than 25s is less than or equal to 375 or is it w is greater than or equal to 25 and s is less than 375
W is greater than or equal to 25 s is greater than 375 w is greater than or equal to 25 s is less than or equal to 375 w is greater than 25s is less than or equal to 375 or is it w is greater than or equal to 25 and s is less than 375
Answers
GPT-4o mini
To represent the scenario of Adam's finances as a system of linear inequalities, we can break it down based on the conditions given.
1. Adam has **at least $25** in his wallet, which translates to:
\[
w \geq 25
\]
2. Adam has **no more than $375** in his savings, which translates to:
\[
s \leq 375
\]
Combining these two inequalities, we have the following system of linear inequalities:
\[
\begin{align*}
w & \geq 25 \quad \text{(1)} \\
s & \leq 375 \quad \text{(2)}
\end{align*}
\]
Thus, the final correct representation of the scenario is:
- \(w \geq 25\)
- \(s \leq 375\)
The options you provided contain some inconsistencies. The correct inequality representation you are looking for is simply the first one and the second one above combined.
1. Adam has **at least $25** in his wallet, which translates to:
\[
w \geq 25
\]
2. Adam has **no more than $375** in his savings, which translates to:
\[
s \leq 375
\]
Combining these two inequalities, we have the following system of linear inequalities:
\[
\begin{align*}
w & \geq 25 \quad \text{(1)} \\
s & \leq 375 \quad \text{(2)}
\end{align*}
\]
Thus, the final correct representation of the scenario is:
- \(w \geq 25\)
- \(s \leq 375\)
The options you provided contain some inconsistencies. The correct inequality representation you are looking for is simply the first one and the second one above combined.