Answered

Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Get immediate and reliable answers to your questions from a community of experienced experts on our platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

What is the answer to this

Find y when x=9 if y varies directly as the square of x and y=245 when x=7

Sagot :

carlosego
Since the variation is direct, then we have an equation of the form:
 [tex]y = kx ^ 2 [/tex]
 From here, we must find the value of k.
 For this, we use the following data:
 y = 245 when x = 7
 Substituting values we have:
 [tex]245 = k7 ^ 2 [/tex]
 Rewriting we have:
 [tex]245 = 49k [/tex]
 Clearing k we have:
 [tex]k = \frac{245}{49} [/tex]
 [tex]k = 5 [/tex]
 Therefore, the equation is given by:
 [tex]y = 5x ^ 2 [/tex]
 Evaluating the equation for x = 9 we have:
 [tex]y = 5 (9) ^ 2 y = 5 (81) y = 405[/tex]
 Answer
 The value of y when x = 9 is:
 [tex]y = 405[/tex]
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.