The slope of the line is 1.
The slope of the line is 1 because the line moves ror goes up from left to right, making it a positive. The line also moves one block over and one block up.
The patient weighs about 268 pounds after the 4 week diet.
Make a change of coordinates:


The Jacobian for this transformation is

and has a determinant of

Note that we need to use the Jacobian in the other direction; that is, we've computed

but we need the Jacobian determinant for the reverse transformation (from

to

. To do this, notice that

we need to take the reciprocal of the Jacobian above.
The integral then changes to

ANSWER

EXPLANATION
We were given that

varies directly as

We can write this mathematically as,

This implies that,

where k is the constant of variation.

This implies that,


The equation becomes

When
