Angelina already had $1500 saved before she started.  She isn't working while she's in school, so she can only save $250 a year each year she is in college. Ray didn't have any money saved before he started, but he has a part-time job. He figures that he can save about $750 a year each year that he is in college. Let x represent the number of years the two students are in college. Assume that this is the same number of years for both.  Let y represent the total amount of savings in dollars after x years. What is the equation that represents Angelina’s savings for college? What is the equation that represents Ray’s savings for college? When will Angelina and Ray have the same amount saved for college? Explain how you know. After the first two years, who has the most saved? Explain how you know.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Angelina already had $1500 saved before she started.  She isn't working while she's in school, so she can only save $250 a year each year she is in college.

Ray didn't have any money saved before he started, but he has a part-time job. He figures that he can save about $750 a year each year that he is in college.

Let x represent the number of years the two students are in college. Assume that this is the same number of years for both.  Let y represent the total amount of savings in dollars after x years.

  1. What is the equation that represents Angelina’s savings for college?
  2. What is the equation that represents Ray’s savings for college?
  3. When will Angelina and Ray have the same amount saved for college? Explain how you know.
  4. After the first two years, who has the most saved? Explain how you know.
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