If y varies directly as x , and y = 6 when x = 15, find y when x = 25

y = 10

Step-by-step explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 6 when x = 15, thus

6 = 15k ( divide both sides by 15 )

k = =

y = x ← equation of variation

When x = 25, then

y = × 25 = 10

step-by-step explanation:

the multiplicative inverse of a fraction a/b is b/a. for the multiplicative inverse of a real number, divide 1 by the number. for example, the reciprocal of 5 is one fifth 1/5 or 0.2, and the reciprocal of 0.25 is 1 divided by 0.25, or 4.