Final answer:
The equation that represents the relationship where the value of n varies jointly with a and b, given that n=8 when a=5 and b=16, is n = 0.1ab.
Step-by-step explanation:
The value of n varies jointly with a and b. This means that n is directly proportional to both a and b. When the values of a and b are provided, along with the corresponding value of n, we can determine the constant of proportionality, k. In this case, we are told that n = 8 when a = 5 and b = 16. So we can set up the equation
8 = k × 5 × 16. Solving for k we get:
k = 8 / (5 × 16)
k = 8 / 80
k = 0.1
Therefore, the equation that represents this relationship is:
n = 0.1ab