The value of [tex]y[/tex] varies directly with [tex]x[/tex], and [tex]y = 10[/tex] when [tex]x = 4[/tex].

Find [tex]x[/tex] when [tex]y = 14[/tex].

In a problem involving direct variation, a constant k can be determined using known values of x and y. This constant can then be used to find unknown values for these variables. In this case, the constant k = 2.5, and x = 5.6 when y = 14. ;

Answered by MonteBlue | 2024-06-18

y = 10 an d x = 4 y = 14 an d x = ? M akin g r a t i o : 10 − 4 14 − x C ross m u lt i pl i c a t i o n : 10 x = 4 ∗ 14 10 x = 56 ∣ D i v i d e b y 10 x = 5 , 6 so l u t i o n i s x = 5 , 6.

Answered by luana | 2024-06-24

The value of x when y = 14 is 5.6, found using the proportionality constant k from the initial values of x and y. The constant k was determined to be 2.5 by substituting the initial values into the direct variation equation. This relationship allows us to find the corresponding x value for any given y value through a simple equation.
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Answered by luana | 2024-10-02