As khan and jorman practice for college entrance tests, their scores increase. Khan's current score is 750 and is rising 8 points per week.Jormans current score is 650 but is growing by 28 points each week. write and solve a system of equations uising the equal values method to determine when their scores will be the same and what that score will be

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Answer:

  • 790 after 5 weeks

Step-by-step explanation:

We can set equations for each as below

Khan's current score is 750 and is rising 8 points per week:

  • K = 750 + 8x

Jorman's current score is 650 but is growing by 28 points each week:

  • J = 650 + 28x

Since the scores are going to be same, K = J, make the equations same and solve for x:

  • 750 + 8x = 650 + 28x
  • 28x - 8x = 750 - 650
  • 20x = 100
  • x = 5

The scores will be same after 5 weeks and:

  • 750 + 8*5 = 750 + 40 = 790
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