A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)

13th Edition

ISBN: 9780135183885

Author: Rick Billstein, Shlomo Libeskind, Johnny Lott, Barbara Boschmans

Publisher: PEARSON

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

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Textbook Question

Chapter 5.2A, Problem 26A

A hot air balloon descends at the rate of 5 ft per minute for 6 minutes and then rises at the rate of 3 ft per minute for 8 minutes. Write this information using integers and give the net result on balloon height.

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Chapter 5.2A, Problem 25A

Chapter 5.2A, Problem 27A

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(b) Find the (instantaneous) rate of change of y at x = 5. In the previous part, we found the average rate of change for several intervals of decreasing size starting at x = 5. The instantaneous rate of change of fat x = 5 is the limit of the average rate of change over the interval [x, x + h] as h approaches 0. This is given by the derivative in the following limit. lim h→0 - f(x + h) − f(x) h The first step to find this limit is to compute f(x + h). Recall that this means replacing the input variable x with the expression x + h in the rule defining f. f(x + h) = (x + h)² - 5(x+ h) = 2xh+h2_ x² + 2xh + h² 5✔ - 5 )x - 5h Step 4 - The second step for finding the derivative of fat x is to find the difference f(x + h) − f(x). - f(x + h) f(x) = = (x² x² + 2xh + h² - ])- = 2x + h² - 5h ])x-5h) - (x² - 5x) = ]) (2x + h - 5) Macbook Pro

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Chapter 5 Solutions

A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)

Ch. 5.1 - Prob. 1MC Ch. 5.1 - Prob. 2MC Ch. 5.1 - Prob. 3MC Ch. 5.1 - Prob. 4MC Ch. 5.1 - Prob. 5MC Ch. 5.1 - Prob. 6MC Ch. 5.1 - Describe a realistic word problem that models...Ch. 5.1 - Prob. 8MC Ch. 5.1 - a. I chose an integer. I then subtract 10 from the...Ch. 5.1 - Investigate how tides are measured and design an...

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A hot air balloon descends at the rate of 5 ft per minute for 6 minutes and then rises at the rate of 3 ft per minute for 8 minutes. Write this information using integers and give the net result on balloon height.

Solution Summary: The author calculates the net result on balloon height using integers. The negative integer represents the fall in height of the hot balloon.

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Chapter 5 Solutions