IDNLearn.com offers a collaborative platform for sharing and gaining knowledge. Get the information you need from our community of experts who provide accurate and thorough answers to all your questions.

Y is directly proportional to x squared if y=20 when x=2 find y when x= 5

Sagot :

Answer:

y = 125

Step-by-step explanation:

Given that,

y is directly proportional to x² i.e.

[tex]y=kx^2[/tex]

k is a constant of proportionality

Put y = 20 and x = 2 in the given equation to find k.

[tex]k=\dfrac{y}{x^2}\\\\k=\dfrac{20}{(2)^2}\\\\k=5[/tex]

Now put k = 5 and x = 5 in the given equation to find y.

[tex]y=5\times (5)^2\\\\y=125[/tex]

So, the value of y is equal to 125.

We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com provides the answers you need. Thank you for visiting, and see you next time for more valuable insights.