Algebra and Trigonometry: Structure and Method, Book 2

2000th Edition

ISBN: 9780395977255

Author: MCDOUGAL LITTEL

Publisher: McDougal Littell

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

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Question

Chapter 1, Problem 18CR

To determine

The amount invested at each rate.

Expert Solution & Answer

Answer to Problem 18CR

The distance travelled at 50 mi/h = 75mi

The distance travelled at 55 mi/h = 110mi

Explanation of Solution

Given:

Total distance = 185mi.

Speeds = 50 mi/h and 55mi/h

Total time = 3h 30minutes

Calculation:

Let the distance travelled at 50 mi/h = x

The distance travelled at 55 mi/h = 185 - x

Therefore,

x50+185−x55=31211x+10(185−x)550=31211x+1850−10x=72(550)x+1850=1925x=1925−1850x=75mi

Hence, the distance travelled at 50 mi/h = 75mi

The distance travelled at 55 mi/h = 110mi

Chapter 1, Problem 17CR

Chapter 1, Problem 1CT

Chapter 1 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

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