Enlarging a Field A farmer has a rectangular cow pasture with width 100 ft. and length 180 ft. An increase the number of requires the farmer to increase the area of her pasture. She has two options:
Option 1: Increase the length of the field.
0ption 2: Increase the width at the field.
It costs $10 per foot to install new fence. Moving the old fence costs $6 per linear foot of fence to be moved.
(a) For each option, find a formula for A, the area gained, in terms of the cost C.
(b) Complete the table for the area gained in terms of the cost for each option.
(c) If the farmer has $1200 for this project, which option gives her the greatest gain in area for her money? What if she had $2000 for the project?
Trending nowThis is a popular solution!
Chapter P Solutions
College Algebra
- Tom Morrow wants to buy some fertilizer for his yard. The lot size is 140 ft by 160 ft. The outside measurements of his house are 80 ft by 35 ft. The driveway measures 30 ft by 20 ft. All shapes are rectangular. aWhat is the square footage of his yard that needs to be fertilized? bIf each bag of fertilizer covers 5000ft2, how many bags should Tom buy? cIf the fertilizer costs 18 per bag, what is his total cost?arrow_forwardReflectors The reflectors in each lane-marking stripe on a highway are spaced 16 yards apart. How many reflectors are needed for a one mile long lane-marking stripe?arrow_forwardPascual is remodeling a house and plans a complete drywall for one 8-foot-high room. Dimensions for the room the floor are 12 ft. by 16 ft. aTo replace the drywall on the 4 walls and ceiling, how many 4 ft by 8 ft sheets of drywall are needed? bIf the cost of the drywall and other materials runs 0.40 per ft2, what does Pascual spend for the drywall and materials?arrow_forward
- A man drove 10 mi directly east from his home, made a left turn at an intersection, and then traveled 5 mi north to his place of work. If a road was made directly from his home to his place of work, what would its distance be to the nearest tenth of a mile?arrow_forwardGary and Carolyn plan to build the deck shown. a Find the total floor space area of the deck. b Find the approximate cost of building the deck if the estimated cost is 6.40 per ft2.arrow_forwardIf a man sawed a 10-ft board into two sections and one section was nft long, how long would the other section be in terms of n?arrow_forward
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageElementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice University