Sunday, November 16, 2008
Algebra 2 extra credit
If you have logged onto this website to look at the test corrections, please go to question 6 and write down what colors I used to highlight the function. When you come to class, put that information on a piece of paper along with your name and turn it in to me.
Sunday, November 9, 2008
Problem of the Week #1
A Math Forum Project
Problem of the Week
1182: The Supermarket Shelf
You are the manager of a supermarket, and you are working on rearranging some of the products in your store. Your main concern is where to place the most expensive items. You decide that putting the items on a middle shelf is probably a good idea. This way customers won't have to stretch to reach the items off a top shelf or strain their backs when they bend to reach an item from a bottom shelf. However, what is the optimal height for a middle shelf? Is it 3 feet off the ground? Or 4 feet off the ground? Or somewhere in between?
Luckily, one of your new employees is a math major just starting his summer break. You enlist him to help figure out the answer to your question. You have the following data on customers, collected by a previous employee who was a statistics major on summer break.
• A typical customer stands about 3 feet away from the shelf when looking at items.
• When a customer looks at an item, his or her head is bent at an angle 15 degrees below the horizontal.
• A female customer's eyes are about 59 inches above the ground, and a male customer's eyes are about 64 inches off the ground.
Based on this information, your math major employee determines the optimal shelf height. What is the optimal shelf height? Round your answer to the nearest inch and be sure to show work to support your answer.
Problem of the Week
1182: The Supermarket Shelf
You are the manager of a supermarket, and you are working on rearranging some of the products in your store. Your main concern is where to place the most expensive items. You decide that putting the items on a middle shelf is probably a good idea. This way customers won't have to stretch to reach the items off a top shelf or strain their backs when they bend to reach an item from a bottom shelf. However, what is the optimal height for a middle shelf? Is it 3 feet off the ground? Or 4 feet off the ground? Or somewhere in between?
Luckily, one of your new employees is a math major just starting his summer break. You enlist him to help figure out the answer to your question. You have the following data on customers, collected by a previous employee who was a statistics major on summer break.
• A typical customer stands about 3 feet away from the shelf when looking at items.
• When a customer looks at an item, his or her head is bent at an angle 15 degrees below the horizontal.
• A female customer's eyes are about 59 inches above the ground, and a male customer's eyes are about 64 inches off the ground.
Based on this information, your math major employee determines the optimal shelf height. What is the optimal shelf height? Round your answer to the nearest inch and be sure to show work to support your answer.
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