Step-by-step explanation:
We first need to set up the proportion based on the given relationship:
y∝(x+3)²
Given that x=2 when and y=5, we can find the constant of proportionality:
5∝(2+3)²
Introduce constant (k)
5=k(2+3)²
5=k(5)²
5=k25
Divide both sides by 5
k=1/5
The relationship between x and y is y=1/5(x+3)²
Now, we can use this proportion to find y when x=1:
y=1/5(x+3)²
y=1/5(1+3)²
y=1/5(4)²
y=1/5(16)
y=3.2
Therefore, y=3.2 when x=1
