Answer:
Area of the rectangle(A) is given by:
where, l is the length and w is the width of the rectangle.
As per the statement:
A rectangle has an area of 72 in²
⇒A = 72 in²
then;
It is given that:
The length and the width of the rectangle are changed by a scale factor of 3.5.
Length of new rectangle become = 3.5l
Width of new rectangle become = 3.5 w
then;
Area of new rectangle = (Length of new rectangle)(Width of new rectangle)
⇒Area of new rectangle = (3.5l)(3.5w) =12.25(lw)
Substitute the given values we have;
Therefore, the area of the new rectangle is, 882 in²
we know that
The multiplicative rate of change of the exponential function between two points is equal to
![[f(b) / f(a) ] / (b-a)](https://tex.z-dn.net/?f=%5Bf%28b%29%20%2F%20f%28a%29%20%5D%20%2F%20%28b-a%29)
Let

we have that

substitute in the formula
![[4 / 6 ] / (2-1)=4/6=2/3](https://tex.z-dn.net/?f=%5B4%20%2F%206%20%5D%20%2F%20%282-1%29%3D4%2F6%3D2%2F3)
Let

we have that

substitute in the formula
![[(16/9) / (8/3) ] / (4-3)=48/72=2/3](https://tex.z-dn.net/?f=%5B%2816%2F9%29%20%2F%20%288%2F3%29%20%5D%20%2F%20%284-3%29%3D48%2F72%3D2%2F3)
therefore
<u>the answer is the option</u>
B.) 2/3
The width is 32
Divide 512 by 16
2nd option , i hope that helps




Factor out
.

Consider
. Factor out
.

Rewrite the complete factored expression.
