Answer:
linear and non-proportional
Step-by-step explanation:
When the same amount is added each week, the relationship is linear. When the initial value is 50, not zero, the relationship is non-proportional.
We are given ratio 456:8.
The given ratio can be written in fraction form as 
In order to find the rate, we need to divide 456 by 8, because it would give the unit value.
When we divide 456 by 8, we first take multiple of 8 closer to the number 45.
8*6=48 but it's greater than 45, so we would take 8*5 =40.
Subtracting 40 from 45, we get 5.
Getting 6 down, we get 56. Take multiple of 8 upto 56.
8*7= 56.
56 -56=0.
So, on dividing 456 by 8 we got 57.
Therefore, rate is 57 per unit.