Find an equation of variation where y varies directly as x and y = 15 when x = 5, find y when x is 19.

y=57, when x is 19.

Step-by-step explanation:

We are asked to write an equation of variation where y varies directly as x.

Since we know that a directly proportional equation is in form: , where k is the constant of proportionality.

Upon substituting x=5 and y= 15 in our equation of variation we will get,

Upon substituting k=3 in the standard equation of variation we will get our desired equation of variation as: .

Now let us find y, when x is 19.

Therefore, y equals 57, when x is 19.

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.