Question

You have $37 when you get to the mall. you need to save $3 for bus fare to get back home. what inequality represents the amount of money, m, you can spend?

Answer 1

The inequality that represents the amount of money you can spend at the mall is m ≤ $34. This is calculated by subtracting the $3 required for bus fare from your initial $37, showing the application of budget constraints and trade-offs.

Step-by-step explanation:

The question asks to define an inequality that represents the amount of money, m, you can spend at the mall, given that you start with $37 and must save $3 for bus fare. The inequality that correctly represents this situation is m ≤ $34, meaning the amount of money you can spend is less than or equal to $34.

To arrive at this solution, we take the total amount of money you have, which is $37, and subtract the amount you need to save for the bus fare, which is $3. This leaves you with $34 to spend at the mall. Hence, the inequality that models this scenario is m ≤ $34.

Learning to solve problems involving budget constraints is an essential skill. Drawing parallels to typical consumer budget problems, like Alphonso's choice between spending on burgers and bus tickets, demonstrates the real-life application of such mathematics. The scenario helps us understand how to allocate limited resources and the concept of trade-offs.

Answer 2

m ≤ 34

Step-by-step explanation:

Total amount in hand when reaching the mall = $37

Amount needed for bus fare = $3

Amount that you are free to spend in the mall = 37 -3 = $34

This means you can spend upto a maximum of $34 in the mall. In other words you can spend $34 or less in the mall.

If m is the amount of money you can spend, then the inequality that represents it is m ≤ 34.