Step-by-step explanation:
<u>Pattern 1</u> :
Arithmetic Sequence
Common term = 4
<u>Pattern 2</u> :
Geometric Sequence
Common ratio = 2
<em>f(d)=86,400·d</em>
if you set 1 day (d=1) you get f(1)=86,400 sec
if you set 1 day (d=2) you get f(2)=172,800 sec
...etc.
The slope of the given line is the coefficient of x, 3/5. The slope of the perpendicular line will be the negative reciprocal of that: -1/(3/5) = -5/3.
The point-slope form of the equation for a line of slope m through point (h, k) can be written ...
... y = m(x -h) +k
For your point and the slope found above, this becomes
... y = (-5/3)(x -15) -5
When x=0, this is
... y = (-5/3)(-15) -5 = 20
The y-intercept is 20.
I would have to say -7(1/8)x-4/3=20.
The first and the second one both result in
-23 5/7
The last one results in -24 8/21
but the third one is -22 3/8.
So your answer is either the third of the last one. I assumed the third because, it is lower than all others and the first two are closer to 24 than they are to 22. It’s your choice on how to judge it.