Final answer:
Debbie would need a score of 92 on the fifth test to have an average greater than 90.
Step-by-step explanation:
In order for Debbie's average to be greater than 90, the sum of her grades on the five tests must be greater than 5 * 90 = 450. Her current sum of grades on four tests is 90 + 94 + 85 + 89 = 358. To find the lowest grade she can receive on the fifth test, we subtract 358 from 450: 450 - 358 = 92.
Therefore, the lowest grade that Debbie can receive on the fifth test in order for her average to be greater than 90 is 92.