the following chart shows a stores coat sales for two years.\n2006\n2007\nidentify the percent increase in…
the following chart shows a stores coat sales for two years.\n2006\n2007\nidentify the percent increase in total sales and the percent increase in sales of trench coats. then find which percent of increase is greater and by how much greater it is than the other. (round your answer to the nearest tenth.)\na. sales of trench coats increased 0.7 percentage points faster than total coat sales.\nb. sales of trench coats increased 8.3 percentage points faster than total coat sales.\nc. total coat sales increased 2.5 percentage points faster than sales of trench coats.\nd. total coat sales increased 10.7 percentage points faster than sales of trench coats.
Answer
Explanation:
Step1: Calculate total sales in 2006
$297 + 210+213 + 137+103=960$
Step2: Calculate total sales in 2007
$223+210 + 285+259+127 = 1104$
Step3: Calculate percent - increase in total sales
Percent increase formula is $\frac{\text{New Value}-\text{Old Value}}{\text{Old Value}}\times100%$. $\frac{1104 - 960}{960}\times100%=\frac{144}{960}\times100% = 15%$
Step4: Calculate percent - increase in trench - coat sales
In 2006, trench - coat sales = 103. In 2007, trench - coat sales = 127. $\frac{127 - 103}{103}\times100%=\frac{24}{103}\times100%\approx23.3%$
Step5: Find the difference in percent - increases
$23.3%-15% = 8.3%$
Answer:
b. Sales of trench coats increased 8.3 percentage points faster than total coat sales.