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Profit Selling Sweatshirts An equation can be written for a business to determine how much profit they will For an example, your business began selling sweatshirts at a cost of $10. The first sold 1,000 (great first year!). You decided to raise the selling price by $5 and foun total number sold decreased by 100 sweatshirts (see the table below). It costs $10 produce 1 sweatshirt. vertex (35 Selling Price $ (s) 10 15 20 Quantity Sold in 1 year (q) 1000 900 800 12000 Profit, P 10000 8000 6000

Profit Selling Sweatshirts An equation can be written for a business to determine how much profit they will For an example, your business began selling sweatshirts at a cost of $10. The first sold 1,000 (great first year!). You decided to raise the selling price by $5 and foun total number sold decreased by 100 sweatshirts (see the table below). It costs $10 produce 1 sweatshirt. vertex (35 Selling Price $ (s) 10 15 20 Quantity Sold in 1 year (q) 1000 900 800 12000 Profit, P 10000 8000 6000

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter3: Graphing Linear Functions
Section3.4: Graphing Linear Equations In Standard Form
Problem 23E
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Profit Selling Sweatshirts An equation can be written for a business to determine how much profit they will make. For an example, your business began selling sweatshirts at a cost of $10. The first year you sold 1,000 (great first year!). You decided to raise the selling price by $5 and found the total number sold decreased by 100 sweatshirts (see the table below). It costs $10 to produce 1 sweatshirt. vertex (35, 12,500) Selling Price $ (s) 10 15 20 25 Quantity Sold in 1 year (q) 1000 900 800 700 12000 Profit, P 10000 8000 6000 4000 2000 0 -2000 9 3. What is the meaning of the vertex of the graph? 10 20 30 2. What is f(20) and what does this mean in the context of the problem? 40 Using some algebra, you determine the equation to represent the relationship between the selling price (s) and the profit (f(s)) (assuming you continue the trend of raising the price by $5 and selling 100 less) is f(s)=-20s +1400s-12,000. Above is the graph of the function. 1. What is f(10) and what does this mean in the context of the problem? 4. How many sweatshirts had to be sold to make a profit of $10,000? 50 of 70 selling price, s 5. What is the domain and range of the function in the context of this problem? 6. If you had a choice, what price would you set for the sweatshirts, and why?
Transcribed Image Text:Profit Selling Sweatshirts An equation can be written for a business to determine how much profit they will make. For an example, your business began selling sweatshirts at a cost of $10. The first year you sold 1,000 (great first year!). You decided to raise the selling price by $5 and found the total number sold decreased by 100 sweatshirts (see the table below). It costs $10 to produce 1 sweatshirt. vertex (35, 12,500) Selling Price $ (s) 10 15 20 25 Quantity Sold in 1 year (q) 1000 900 800 700 12000 Profit, P 10000 8000 6000 4000 2000 0 -2000 9 3. What is the meaning of the vertex of the graph? 10 20 30 2. What is f(20) and what does this mean in the context of the problem? 40 Using some algebra, you determine the equation to represent the relationship between the selling price (s) and the profit (f(s)) (assuming you continue the trend of raising the price by $5 and selling 100 less) is f(s)=-20s +1400s-12,000. Above is the graph of the function. 1. What is f(10) and what does this mean in the context of the problem? 4. How many sweatshirts had to be sold to make a profit of $10,000? 50 of 70 selling price, s 5. What is the domain and range of the function in the context of this problem? 6. If you had a choice, what price would you set for the sweatshirts, and why?
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