**Sunglass Shipments Rate Calculation**A factory ships sunglasses in boxes that each have the same number of sunglasses. The table below shows the data for 4 shipments.| **Number of Boxes** | **Number of Sunglasses** ||---------------------|------------------------|| 2 | 50 || 3 | 75 || 5 | 125 || 7 | 175 |The question is: Which rate represents the relationship in the table?**Options:**A. 225 sunglasses per 8 boxes B. 100 sunglasses per 4 boxes C. 5 sunglasses per 125 boxes D. 4 sunglasses per 100 boxes **Analysis:**To determine the correct rate, we'll calculate the ratio of the number of sunglasses to the number of boxes for each shipment:- For 2 boxes: $ \frac{50 \text{ sunglasses}}{2 \text{ boxes}} = 25 \text{ sunglasses per box} $- For 3 boxes: $ \frac{75 \text{ sunglasses}}{3 \text{ boxes}} = 25 \text{ sunglasses per box} $- For 5 boxes: $ \frac{125 \text{ sunglasses}}{5 \text{ boxes}} = 25 \text{ sunglasses per box} $- For 7 boxes: $ \frac{175 \text{ sunglasses}}{7 \text{ boxes}} = 25 \text{ sunglasses per box} $The relationship is consistent at $ 25 \text{ sunglasses per box} $. Now, analyze the given options:A. 225 sunglasses per 8 boxes$ \frac{225 \text{ sunglasses}}{8 \text{ boxes}} = 28.125 \text{ sunglasses per box} $B. 100 sunglasses per 4 boxes$ \frac{100 \text{ sunglasses}}{4 \text{ boxes}} = 25 \text{ sunglasses per box} $C. 5 sunglasses per 125 boxes$ \frac{5 \text{ sunglasses}}{125 \text{ boxes}} = 0.04 \text{ sunglasses per box} $D. 4 sunglasses per 100 boxes\( \frac{4 \text{ sunglasses}}{100 \text{ boxes}} = 0.04 \text{ sunglasses per box

It is given that a factor ships sunglasses in boxes that each have the same number of sunglasses.

A factory ships sunglasses in boxes that each have the same number of sunglasses. The table shows the data for 4 shipments. Number of Number of Вохes Sunglasses 2 50 75 125 175 Which rate represents the relationship in the table? A. 225 sunglasses per 8 boxes В. 100 sunglasses per 4 boxes С. 5 sunglasses per 125 boxes D. 4 sunglasses per 100 boxes

A factory ships sunglasses in boxes that each have the same number of sunglasses. The table shows the data for 4 shipments. Number of Number of Вохes Sunglasses 2 50 75 125 175 Which rate represents the relationship in the table? A. 225 sunglasses per 8 boxes В. 100 sunglasses per 4 boxes С. 5 sunglasses per 125 boxes D. 4 sunglasses per 100 boxes

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

**Sunglass Shipments Rate Calculation**

A factory ships sunglasses in boxes that each have the same number of sunglasses. The table below shows the data for 4 shipments.

| **Number of Boxes** | **Number of Sunglasses** |
|---------------------|------------------------|
| 2 | 50 |
| 3 | 75 |
| 5 | 125 |
| 7 | 175 |

The question is: Which rate represents the relationship in the table?

**Options:**

A. 225 sunglasses per 8 boxes
B. 100 sunglasses per 4 boxes
C. 5 sunglasses per 125 boxes
D. 4 sunglasses per 100 boxes

**Analysis:**

To determine the correct rate, we'll calculate the ratio of the number of sunglasses to the number of boxes for each shipment:

- For 2 boxes: $ \frac{50 \text{ sunglasses}}{2 \text{ boxes}} = 25 \text{ sunglasses per box} $
- For 3 boxes: $ \frac{75 \text{ sunglasses}}{3 \text{ boxes}} = 25 \text{ sunglasses per box} $
- For 5 boxes: $ \frac{125 \text{ sunglasses}}{5 \text{ boxes}} = 25 \text{ sunglasses per box} $
- For 7 boxes: $ \frac{175 \text{ sunglasses}}{7 \text{ boxes}} = 25 \text{ sunglasses per box} $

The relationship is consistent at $ 25 \text{ sunglasses per box} $. Now, analyze the given options:

A. 225 sunglasses per 8 boxes

$ \frac{225 \text{ sunglasses}}{8 \text{ boxes}} = 28.125 \text{ sunglasses per box} $

B. 100 sunglasses per 4 boxes

$ \frac{100 \text{ sunglasses}}{4 \text{ boxes}} = 25 \text{ sunglasses per box} $

C. 5 sunglasses per 125 boxes

$ \frac{5 \text{ sunglasses}}{125 \text{ boxes}} = 0.04 \text{ sunglasses per box} $

D. 4 sunglasses per 100 boxes

\( \frac{4 \text{ sunglasses}}{100 \text{ boxes}} = 0.04 \text{ sunglasses per box

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