If y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of y when x is 11?

a. y=5/18(11)
b. y=18/5(11)
c. y=(18)(5)/11
d. y=11/(18)(5)

Option b is correct

Step-by-step explanation:

The direct variation says that:

, then the equation is of the form:

where, k is the constant of variation.

As per the statement:

If y varies directly as x.

By direct variation:

               ....[1]

If y = 18 when x = 5

Substitute these values in [1] we have;

Divide both sides by 5 we have;

or

⇒                 ......[2]

We have to find the value of y when x = 11.

Substitute x = 11 in [2] we have;

Therefore, the value of y is,

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step-by-step explanation:

step-by-step explanation:

given that ab is divided into equal parts as

ac, cd, de, ef, fg, gh, hi, ib.

from this we find that f is the midpoint of ab.

so using mid point formula we find

f = (3,7)

similarly considering fb, we get

h = mid point of fb = ((6,6) and g, mid point of fh is

g = (9/2, 13/2)

i is mid point of hb

so i =(15/2,11/2)