42 1/2 (D)
85/2=42 1/2
you divide 85 by 2 because there are two halves in one whole
When two values are given for a linear function, it is easier to obtain the equation using the two-point form, namely
(y-y1)=m(x-x1) where
m=slope=(y2-y1)/(x2-x1)
and
(x1,y1) and (x2,y2) are the given two points.
Here
(x1,y1)=(25,0.99), and
(x2,y2)=(100,3.99)
Find slope, m=(y2-y1)/(x2-x1)=(3.99-0.99)/(100-25)=3/75=0.04
Find equation:
(y-y1)=m(x-x1)
(y-0.99)=0.04(x-25)
Expand and simplify:
y=0.04x-1+0.99 , simplify
y=0.04x-0.01..............................Function that models the situation
The tangent of x is defined to be its sine divided by its cosine: tan x = sin x cos x . The cotangent of x is defined to be the cosine of x divided by the sine of x: cot x = cos x sin x .
