If 10 800 cm2 of material is available to make a box with a square base and an open top find the largest possible volume of the box.

Let

x--------> the length side of the square base of the box

y-------> the height of the box

we know that

The surface area of the box is equal to

so

--------> equation A

the volume of the box is equal to

--------> equation B

Substitute the equation A in the equation B

using a graphing tool

see the attached figure

For

the point is a maximum of the function

Find the dimensions of the box

Find the value of y

The dimensions of the box are

The largest possible volume of the box is

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,

greater than one

step-by-step explanation: