Home > Algebra > Direct Variation

If y is directly proportional to x and y=5 when x=2, what is the value of y when x=16?

Answer 1

Ethan Adkins

#y=40#

#ypropx# #y=kx#

when #x=2#, #y=5# #5=k(2)# #:.k=5/2#

When #x=16#, #y=(5/2)(16)# #y=40#

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

Answer 2

Isaiah Anthony

#y=40#

#"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"#

#y=5" when " x=2#

#y=kxrArrk=y/x=5/2#

#"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=5/2x=(5x)/2)color(white)(2/2)|)))#

#"when "x=16" then"#

#y=5/cancel(2)^1xxcancel(16)^8=5xx8=40#

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

Answer 3

Abigail Allen

If y is directly proportional to x and y=5 when x=2, the constant of proportionality can be found using the formula y = kx, where k is the constant of proportionality. So, 5 = k * 2. Solving for k, we get k = 5/2 = 2.5. Now, we can use this constant to find the value of y when x=16. y = k * x = 2.5 * 16 = 40. Therefore, when x=16, y=40.

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.