Algebra: Structure And Method, Book 1

(REV)00 Edition

ISBN: 9780395977224

Author: Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher: McDougal Littell

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

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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 1.6, Problem 9P

To determine

To translate each problem into an equation and to find the number of sales calls did Shelley and Clark each make.

Expert Solution & Answer

Answer to Problem 9P

Required equation: x+x+5=33 .

The sales calls made by Clark are 14 and sales calls made by Shelley are 19.

Explanation of Solution

Given information:

Shelley made 5 more sales calls than Clark and together they made a total of 33 sales calls.

Calculation:

Let the sale calls made by Clark = x calls

According to the first condition:

Sales calls made by Shelley (five more than Clark) = x+5 calls

According to the second condition:

Total sales calls made by Shelley and Clark = 33 calls.

Therefore,

x+x+5=33

Now, we need to solve it for x .

Adding like terms

2x+5=33

Subtract 5 on both sides

2x+5−5=33−5

2x=28

Divide by 2 on both sides.

⇒2x2=282

⇒x=14

Therefore, the sales calls made by Clark are 14.

And sales calls made by Shelley = x+5=14+5=19 .

Chapter 1.6, Problem 8P

Chapter 1.6, Problem 10P

Chapter 1 Solutions

Algebra: Structure And Method, Book 1

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