Mr. Brust is making a fence to keep his dog/children in. He has 200 meters of fencing and plans to use the back of his house as one side of the pen. The picture below shows the pen with unknown length and width labeled.

a.) Distribute the x and rewrite the equation for area: A(x)=

b.) Sketch a rough graph.

c.) When will the area be zero. Use A(x)=x(200-2x) to find the answer.

d.) Set up an equation that shows when the area is 600m^2. Solve it.

e.) What is the maximum area of the pen?

Did you ever figure this out?

Step-by-step explanation:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places