Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

30 POINTSSSSSS If y varies directly as x, and y = 42 as x = 6, find y for the x-value 3

Sagot :

[tex]\\ \sf\longmapsto x\propto y[/tex]

[tex]\\ \sf\longmapsto x_1y_2=x_2y_1[/tex]

[tex]\\ \sf\longmapsto 6y_2=42(3)[/tex]

[tex]\\ \sf\longmapsto 6y_2=126[/tex]

[tex]\\ \sf\longmapsto y_2=\dfrac{126}{6}[/tex]

[tex]\\ \sf\longmapsto y_2=21[/tex]

Answer:

  • y = 7x
  • y = 21

Step-by-step explanation:

Direct variation formula:

  • y = kx

Given:

  • x = 6, y = 42

Find k:

  • 42 = 6k
  • k = 42/6
  • k = 7

The equation of line is:

  • y = 7x

Now, when x = 3, the value of y is:

  • y = 7*3 = 21