Question

y is directly proportional to the square of (x+3) when x=2 and y =5, find y when x=1

Answer 1

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