Final answer:
To find the value of b when a is 22 in a direct variation relationship, we can use the formula a = kb. Substituting the given values, we can determine the constant of variation, k. Then, we can find the value of b when a is 22.
Step-by-step explanation:
To solve this problem, we can use the formula for direct variation, which is a = kb, where a represents one variable, b represents the other variable, and k is the constant of variation. We are given that when a is 5, b is 18. So, we can substitute these values into the formula to find the value of k:
5 = k * 18
k = 5/18
Now, we can use the value of k to find the value of b when a is 22:
22 = (5/18) * b
b = 22 * (18/5)
b = 79.2
Therefore, the value of b when a is 22 is 79.2.