Kerry wants to enlarge an old rectangular picture to make both the length and width 2 times as large as they were originally. if the area of her original picture is 24in2 what is the area of the enlargement?

The area of the new rectangular picture is = 96in2

Step-by-step explanation:

Kerry wants to enlarge an old rectangular picture to make both the length and width 2 times as large as they were originally. The area of the original picture is 24in2.

Length of the original rectangular picture × width of the original rectangular picture = 24in2

To make a new one that is 2 times the original one, it becomes

Let the area of the new rectangular picture be y.

Area of the original rectangular picture with Length,L and width,W becomes

L×W =24

LW=24

Area of the new rectangular picture with Length,2L and width,2W becomes

2L×2W = y

4LW = y

Substituting LW=24 into 4LW = y

24×4 = y

y= 96in2

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

linear pair postulates