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

Answer 1

Adam can represent his financial situation as a system of linear inequalities using the variables \( w \) for the amount of money in his wallet and \( s \) for the amount of money in his savings. Based on the information provided, we can derive the following inequalities:

1. **At least $25 in his wallet:** This can be represented as:
\[
w \geq 25
\]

2. **No more than $375 in his savings:** This can be represented as:
\[
s \leq 375
\]

Combining these, Adam's scenario can be expressed as the following system of linear inequalities:

\[
\begin{align*}
w & \geq 25 \\
s & \leq 375
\end{align*}
\]

These inequalities describe the constraints on the amounts of money in Adam's wallet and savings.