Question

Maggie is planning on going to Penn State University. She estimates that she will need to earn at least $2,000 to live off of over the course of the year after she buys a $450 laptop.

Part A: Let x represent the amount of money she earns over the summer. Write an inequality that describes the situation above.

Part B: Now that her expenses are taken care of, she has $2,000 to start school. Every week she plans to withdraw $30 for food. If x represents the number of weeks she can withdraw $30, write an inequality that describes this situation.

Part C: Solve the inequality in Part B.

Part D: Explain what your answer in Part C means in terms of the number of weeks that Maggie is able to withdraw money for food.

Thanks for your help :)

Answer 1

A. The amount of money she must earn in the summer must be
x ≥ 2450

B. The inequality that describes the situation is
30x ≤ 2000

C. Solving the inequality
x ≤ 66.67 ~ 66 weeks

D. The answer is Part C means that she can only make use of the $2000 money for food for 66 weeks before it's not enough.