Part 1)
Let
x-------> the length of the rectangle
y-------> the width of the rectangle
we know that
the area of the rectangle is equal to
[tex]A=xy[/tex]
[tex]x=3y-2[/tex] ------> equation A
when
[tex]y=2\ ft[/tex]
substitute the value of y in the equation A
[tex]x=3*2-2=4\ ft[/tex]
Find the area
[tex]A=4*2=8\ ft^{2}[/tex]
therefore
the answer Part 1) is the option A
[tex]8\ ft^{2}[/tex]
Part 2)
we know that
the rate of dives is [tex]1.8\frac{m}{s}[/tex]
The linear equation is
[tex]y=-3.5-1.8x[/tex]
where
x------> is the time in seconds
y-----> is the depth in meters
For [tex]x=4\ min[/tex]
convert to seconds
[tex]4\ min*(60)=240\ sec[/tex]
substitute in the linear equation
[tex]y=-3.5-1.8*240=-435.5\ m[/tex]
therefore
the answer part 2) is the option A
[tex]-435.5\ m[/tex]
