Question

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

Answer 1

• 790 after 5 weeks

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