Home > Algebra > Applications Using Direct Variation

How do you find the direct variation equation if y varies directly as x when #x=4#, #y=48#?

Answer 1

Genesis Allen

#y=12x#

#"the initial statement is "ypropx#

#"to convert to an equation multiply by k the constant"# #"of variation"#

#rArry=kx#

#"to find k use the given condition"#

#"when "x=4,y=48#

#y=kxrArrk=y/x=48/4=12#

#"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=12x)color(white)(2/2)|)))#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Julia Adams

To find the direct variation equation when y varies directly as x, you can use the formula y = kx, where k is the constant of variation. Substitute the given values of x and y into the equation and solve for k. Then, use the value of k to write the direct variation equation. In this case, when x = 4 and y = 48:

48 = k * 4

k = 48 / 4

k = 12

Therefore, the direct variation equation is y = 12x.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.