Question

Time(t) = # of years (n)= the number of times compounded in one year Amount rate of interest A = Pe^rt - time in years Principal the mathematical constant e ^^Formula for Continuous Compounding^^ Part 1 (Polynomial Functions) Pre Calculus Final Project Over the summer your aunt's friend offers you a job to build a stone patio for her backyard. She offers you $10,000 for the job but you must pay for the stone pavers and sand that goes under the pavers. You will be working in a backyard that is a 12'x16' rectangular space. You will have to price out the project to see if the job would be profitable. All you know about the pavers is that each brick paver has an area (length x width) of 24in.^2 which can be represented by the equation: x^2 + 6x + 8 in.^2 The cost of each paver is $4.25, and the bags of sand cost $5.50. Each bag covers 4 ft^2. To Complete the Task (list all of the following) (40 pts.) a.) Draw a sketch of the area to get a feel for how the patio should look. b.) Factor and solve for x to find out the length and width of each paver. (Remember that x^2 + 6x + 8 = 24) Length_____ and Width_ x=_ c.) How many pavers will it take to complete the job?_ d.) How many bags of sand will it take to complete the job?_ e.) What is the total cost of the pavers? _ f.) What is the total cost of the sand?_ g.) What is the total cost to complete both parts of the job?_ h.) How much money will you profit from the job?_____ *Keep in mind the pavers are in inches and the patio is in feet.

          Time(t) = # of years (n)= the number of times compounded in one year
Amount
rate of interest
A = Pe^rt - time in years
Principal the mathematical constant e
^^Formula for Continuous Compounding^^
Part 1 (Polynomial Functions)
Pre Calculus Final Project
Over the summer your aunt's friend offers you a job to build a stone patio for her backyard. She offers you $10,000 for the job but you must pay for the stone pavers and sand that goes under the pavers. You will be working in a backyard that is a 12'x16' rectangular space. You will have to price out the project to see if the job would be profitable. All you know about the pavers is that each brick paver has an area (length x width) of 24in.^2 which can be represented by the equation: x^2 + 6x + 8 in.^2 The cost of each paver is $4.25, and the bags of sand cost $5.50. Each bag covers 4 ft^2.
To Complete the Task (list all of the following) (40 pts.)
a.) Draw a sketch of the area to get a feel for how the patio should look.
b.) Factor and solve for x to find out the length and width of each paver.
(Remember that x^2 + 6x + 8 = 24)
Length_________ and Width_________ x=_________
c.) How many pavers will it take to complete the job?_________
d.) How many bags of sand will it take to complete the job?_________
e.) What is the total cost of the pavers? _________
f.) What is the total cost of the sand?_________
g.) What is the total cost to complete both parts of the job?_________
h.) How much money will you profit from the job?_________
*Keep in mind the pavers are in inches and the patio is in feet.

Time(t) = # of years (n)= the number of times compounded in one year
Amount
rate of interest
A = Pe^rt - time in years
Principal the mathematical constant e
^^Formula for Continuous Compounding^^
Part 1 (Polynomial Functions)
Pre Calculus Final Project
Over the summer your aunt's friend offers you a job to build a stone patio for her backyard. She offers you 10,000 for the job but you must pay for the stone pavers and sand that goes under the pavers. You will be working in a backyard that is a 12'x16' rectangular space. You will have to price out the project to see if the job would be profitable. All you know about the pavers is that each brick paver has an area (length x width) of 24in.^2 which can be represented by the equation: x^2 + 6x + 8 in.^2 The cost of each paver is4.25, and the bags of sand cost 5.50. Each bag covers 4 ft^2.
To Complete the Task (list all of the following) (40 pts.)
a.) Draw a sketch of the area to get a feel for how the patio should look.
b.) Factor and solve for x to find out the length and width of each paver.
(Remember that x^2 + 6x + 8 = 24)
Length and Width x=
c.) How many pavers will it take to complete the job?
d.) How many bags of sand will it take to complete the job?
e.) What is the total cost of the pavers?
f.) What is the total cost of the sand?
g.) What is the total cost to complete both parts of the job?
h.) How much money will you profit from the job?
*Keep in mind the pavers are in inches and the patio is in feet.

Added by María G.

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