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-or-equal-to 25 s greater than 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

1 answer

To represent Adam's financial situation as a system of linear inequalities, we need to consider the conditions for the amount of money in his wallet (w) and the amount in his savings (s):

  1. Adam has at least $25 in his wallet: This means \( w \) 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 \( s \) must be less than or equal to 375, which is represented as: \[ s \leq 375 \]

Putting these two inequalities together, we have the system: \[ \begin{align*} w & \geq 25 \ s & \leq 375 \end{align*} \]

So, the correct response is:

  • \( w \geq 25 \)
  • \( s \leq 375 \)