Which of the following statements accurately describe the trends shown …

Mathematics Questions
Short Answer
Step by Step Solution
Mathematics Questions

The following chart shows a store’s records of sales of stuffed toys for two months. 2 circle graphs. A circle graph titled September. Teddy bears is 346, rabbits is 297, cats is 199, horses is 245, other is 225. A circle graph titled October. Teddy bears is 308, rabbits is 260, cats is 285, horses is 186, 275 is other. Which of the following are accurate assessments of trends displayed in this graph? I. The market share held by cats increased by about 6.5 percentage points. II. Roughly 22.2% more stuffed toys in the “other” category were sold in October than in September. III. The total number of stuffed toys sold increased by about 2%. a. I and II b. II only c. I and III d. I, II, and III

Short Answer

The market share of cats increased from 15.2% to 21.7%, a rise of 6.5 percentage points, confirming Statement I. The “other” category of stuffed toys saw a sales growth of approximately 22.2%, validating Statement II. However, total sales only increased by about 0.15%, making Statement III inaccurate.

Step-by-Step Solution

Step 1: Analyze the Market Share of Cats

The first step is to evaluate the increase in the market share held by cats. In September, cats held a market share of approximately 15.2%, and by October, this increased to around 21.7%. To determine the change:

  • Identify the percentage for cats in September: 15.2%.
  • Identify the percentage for cats in October: 21.7%.
  • Calculate the difference: 21.7% – 15.2% = 6.5 percentage points.

Thus, Statement I is accurate regarding the market share increase.

Step 2: Calculate the Sales Growth for the “Other” Category

Next, assess the sales growth in the “other” category of stuffed toys. Compare the sales figures from September and October:

  • In September, there were 225 toys sold in the other category.
  • In October, the sales increased to 275.
  • Calculate the increase: 275 – 225 = 50 toys.
  • To find the percentage increase: (50 / 225) * 100% ‚Äöaa 22.2%.

Therefore, Statement II is also accurate regarding this growth.

Step 3: Evaluate the Overall Increase in Total Sales

The final step is to determine whether the total number of stuffed toys sold increased by about 2%. Collect the total sales for September and October:

  • Total toys sold in September: 1312
  • Total toys sold in October: 1314
  • Calculate the difference: 1314 – 1312 = 2.
  • Calculate the percentage increase: (2 / 1312) * 100% ‚Äöaa 0.15%.

As this increase is significantly lower than 2%, Statement III is not accurate.

Related Concepts

Market Share

The percentage of an industry’s sales that a particular company or product controls, indicating its relative size in the market

Sales Growth

The increase in the volume or value of sales over a specific period, often expressed as a percentage to reflect the relative change compared to previous sales

Percentage Increase

A calculation used to express the change in value as a proportion of the original value, often used to understand growth or decline in various contexts.

Table Of Contents
  1. The following chart shows a store’s records of sales of stuffed toys for two months. 2 circle graphs. A circle graph titled September. Teddy bears is 346, rabbits is 297, cats is 199, horses is 245, other is 225. A circle graph titled October. Teddy bears is 308, rabbits is 260, cats is 285, horses is 186, 275 is other. Which of the following are accurate assessments of trends displayed in this graph? I. The market share held by cats increased by about 6.5 percentage points. II. Roughly 22.2% more stuffed toys in the “other” category were sold in October than in September. III. The total number of stuffed toys sold increased by about 2%. a. I and II b. II only c. I and III d. I, II, and III

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