Question

Hey can you please help me

Answer 1

C

Explanation:

General Form of an equation of a line is given by:
`y=mx+b`

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
`d=3.67t+4.81`

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:

`d=3.67t+c`

To find the equation of second plane, we need to solve for c. Also, a point given for second plane is
`(t=0, d=2.14)` , substituting these values into the equation we got, we get the value of c:

`2.14=3.67(0)+c\\2.14=0+c\\c=2.14`

We already know m and now we know c, so we can write final equation as:

`d=3.67t+2.14`

Answer choice C is right.