Mr brown bought a lot that ia half as long and twice as wide Mrs. Rockwell's lot. How does the area of his lot compare to the area of Mrs. Rockwell's lot? Explain how you know

Area of Mrs. Rockwell's lot is equal to the area of Mr. Brown's lot

Step-by-step explanation:

We can suppose the dimensions of Mrs. Rockwell's lot to be:

Length = x

Width = y

Then, we can write the dimensions of Mr. Brown's lot as:

Length = half as long as Mrs. Rockwell's lot

Length = 0.5x

Width = twice as wide as Mrs. Rockwell's lot

Width = 2y

Area of Mrs. Rockwell's lot = Length * Width

                                             = x*y  

Area of Mrs. Rockwell's lot = xy

Area of Mr. Brown's lot = 0.5x*2y

Area of Mr. Brown's lot = xy

Area of Mrs. Rockwell's lot is equal to the area of Mr. Brown's lot, as calculated above.

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.