Answer:
C
Step-by-step explanation:
General Form of an equation of a line is given by: [tex]y=mx+b[/tex]
Where,
m is the slope, and
b is the y-intercept (point where line cuts the y-axis)
Also, parallel lines have equal slopes.
Equation of first plane is given as [tex]d=3.67t+4.81[/tex]
Comparing this with general form of a line, we see that 3.67 is the slope and 4.81 is the y-intercept.
The second plane is going parallel to this. So slope should be same. Hence second plane has slope of 3.67. We can write:
[tex]d=3.67t+c[/tex]
To find the equation of second plane, we need to solve for c. Also, a point given for second plane is [tex](t=0, d=2.14)[/tex] , substituting these values into the equation we got, we get the value of c:
[tex]2.14=3.67(0)+c\\2.14=0+c\\c=2.14[/tex]
We already know m and now we know c, so we can write final equation as:
[tex]d=3.67t+2.14[/tex]
Answer choice C is right.
