Calculating The Volume Worksheet (Page 2 of 4) in pdf

Calculating The Volume Worksheet Page 2

4. Write a quadratic function in standard form that represents the area as a function of the width. NO CALC

a. A builder is designing a rectangular parking lot. She

b. Franco is building a rectangular roller-skating rink at

has 290 feet of fencing to enclose the parking lot

the community park. The materials available limit the

around three sides. A(w) =

perimeter of the skating rink to at most 174 ft. A(w)=

5. The citizens of Herrington County are wild about their dogs. They want to build a dog park with a section for

small dogs and a separate section for large dogs. They need to fence the perimeter of the park and the division line.

The sketch is shown below. The county has enough money in the budget to buy 1500 feet of fencing. Calculator.

a. Write an equation for the length of the new dog

b. Write an equation (A(w)) for the area of the new

park, l, in terms of the width, w.

dog park in terms of width.

c. Sketch the graph of the function. Label the axes in

d. Find the zeros and explain what they mean in

context.

e. What should the dimensions of the dog park be to

maximize the area? What is the maximum area of

the park?

Width:

Length:

Maximum Area:

f. Use the graph to determine the dimensions of the

park if the area was restricted to 80,000 square feet.

Width:

Length:

6. Calculator allowed.

A model rocket is launched from the 5 feet off the

d. Domain (in context in inequality form):

ground with an initial velocity of 120 feet per second.

Range (in context in inequality form):

a.Write a vertical motion model.

e. When is the rocket 100 ft in the air?

b. Max:

Explain the max in context.

For what values in the function increasing?

(in context in interval notation).

c. Zeros:

Explain the zeros in context.

g. For what values is the function decreasing?

(in context in interval notation).

Calculating The Volume Worksheet Page 2