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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.

Respuesta :

Part A:
Maggie need to earn AT LEAST $2000 after she buys a $450 laptop. So she needs a total of $2450 minimum.
So x >= 2450


Part B:
Now she got $2000 to start school. She's planning to spend $30 each week. Let x be the number of  weeks she can spend:
30x = 2000

Part C:
30x = 2000
Divide both sides by 30
30x / 30 = 2000/30
x = 66.6666

Part D:
If Maggie spend just $30 a week, she's able to get food for a living for 66 weeks. After that, she'll need money to be able to buy more food.

Hope this helps! :)

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