NO LINK SPAM OR REPORT: Tell whether x and y show direct variation. Explain your reasoning. If so, find k.
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Let assume that is a rational number. Therefore it can be expressed as a fraction
where
and
.
This means that is divisible by 7, and therefore also
is divisible by 7.
So, where
Analogically to -------
is divisible by 7 and therefore so is
.
But if both numbers and
are divisible by 7, then
which contradicts our earlier assumption that
.
Therefore is an irrational number.
Let's assume
x is number of hours worked
y is amount paid
Since, this is linear relationship
We can select any two points
(2,36.50) and (4,73)
so, we can also write as
x1=2 , y1 =36.50
x2=4 , y2=73
Firstly, we can find slope
we can plug values
now, we can use point slope form of line
we can plug values
now, we can solve for y
or
..............Answer