Question

Plato Help Please 35points

Answer 1

In the equation x is the feet of width.

If the original width is 2 feet, then X^2 = 2^2 = 4

If the width changes to 4 feet, then x^2 becomes 4^2 = 16

The change is 16 - 4 = 12

The answer should be B. $12 per foot.

Answer 2

Answer:

Option B is correct.

Step-by-step explanation:

Given the function which represent the total cost in dollars to build a boxed garden that is x feet wide.

$C(x)=2x^2+32$

we have to find the average rate of change in the total cost to build the boxed garden as the width increases from 2 feet to 4 feet.

$C(2)=2(2)^2+32=8+32=40$

$C(4)=2(4)^2+32=32+32=64$

$\text{Average rate of change=}\frac{C(4)-C(2)}{4-2}$

$=\frac{64-40}{2}=\frac{24}{2}= 12 per foot$

Hence, option B is correct.