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?
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-or-eqaul-to 375

w≥25

s<375

w greater-than-or-equal-to 25 s less than 375

w≥25

s>375

Answer 1

To represent Adam's financial situation using a system of linear inequalities, we need to express the constraints on the amounts of money in his wallet (w) and his savings (s).

1. Adam has **at least $25** in his wallet: This means that \( w \) must be greater than or equal to 25, which is represented as:
\[
w \geq 25
\]

2. Adam has **no more than $375** in his savings: This means that \( s \) must be less than or equal to 375, which is represented as:
\[
s \leq 375
\]

Putting these together, Adam can represent his situation with the following system of inequalities:
\[
\begin{align*}
w & \geq 25 \\
s & \leq 375
\end{align*}
\]

Thus, the correct representation is:
- \( w \geq 25 \)
- \( s \leq 375 \)

This matches the option "w≥25 s≤375".