Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Discover reliable solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
[tex]for\ y\ \ x^2=14^2\\
for\ y=72\ \ x^2=6^2\\\\
\frac{y}{196}=\frac{72}{36}\\
36y=72*196\ \ | divide\ by\ 36\\
\boxed{y=392}[/tex]
The approach is to first find the value of constant of proportionality 'k'.
As y varies directly with x²
So we have
y = k x².
Now when x = 6 , y = 72
Substituting the values we get
72 = k (6)²
72 = 36 k
Dividing by 36 on both sides
2 = k
So (1) becomes
y = 2 x²
Now we need to find y when x = 14
Substituting the values in (2) we get
y = 2 ×(14)²
y = 2 × 196
y = 392
Hence y = 392 when x = 14.
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.