Question

Jack starts with $192. He goes to the mall with his friends and spends $7 every hour.

Answer 1

The question involves mathematical budgeting, where Jack has to manage his spending of $7 per hour at the mall against his initial amount of $192. It's akin to a consumer's budget problem, where budget constraints determine how resources are allocated for expenses like bus tickets and burgers, teaching students about financial planning.

Step-by-step explanation:

The question presented involves Jack starting with a sum of $192 and spending $7 every hour he is at the mall. This is a typical problem that involves linear functions and can be directly compared to a consumer's budget problem. In such problems, consumers must allocate their limited resources effectively, considering the cost of items and the available income. For instance, Alphonso has $10 in spending money each week and needs to decide how to spend it on bus tickets and burgers. Each burger costs $2 and each bus ticket is 50 cents. By setting up a budget constraint, Alphonso can calculate the maximum number of each item he can afford without exceeding his budget.

Similarly, to understand how long Jack can stay at the mall before running out of money, a simple division operation can be used. Dividing his initial amount of $192 by the hourly spending rate of $7 will give the total number of hours he can spend at the mall. This kind of mathematical representation of real-life budget constraints is essential for helping students grasp the importance of budgeting and financial planning.

Answer 2

Jack can spend 27 hours at the mall with his friends.

Step-by-step explanation:

Jack begins with $192 and plans to spend $7 per hour at the mall. To determine how many hours he can indulge in mall activities, we divide his initial amount by the hourly expenditure. Mathematically, it's expressed as $192 / $7, resulting in 27 hours. Consequently, Jack can allocate 27 hours to enjoy his time at the mall with friends. This calculation provides a clear understanding of the duration he can sustain his spending spree before depleting his initial amount. Planning his time and expenses allows Jack to make informed decisions about his leisure activities.