Question
A company's sales in Seattle were \( \$ 410,000 \) in 2012 , while their sales in Portland were \( \$ 265,000 \) for the same year. Complete the following statements: a. Seattle's sales were larger than Portland's. b. Portland sales were smaller than Seattle's. c. Portland sales were of Seattle's. Give answers accurate to at least one decimal place.
Ask by Martin Ruiz. in the United States
Jan 25,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
a. Seattle's sales were larger than Portland's.
b. Portland sales were smaller than Seattle's.
c. Portland sales were 0.6 of Seattle's.
Solution
To complete the statements, we need to compare the sales figures for Seattle and Portland.
1. **Seattle's sales**: \( S = 410,000 \)
2. **Portland's sales**: \( P = 265,000 \)
Now, let's analyze each statement:
a. **Seattle's sales were larger than Portland's.**
- This statement is true because \( 410,000 > 265,000 \).
b. **Portland sales were smaller than Seattle's.**
- This statement is also true because \( 265,000 < 410,000 \).
c. **Portland sales were of Seattle's.**
- To express this mathematically, we can find the ratio of Portland's sales to Seattle's sales:
\[
\text{Ratio} = \frac{P}{S} = \frac{265,000}{410,000}
\]
Now, let's calculate this ratio.
\[
\text{Ratio} = \frac{265,000}{410,000} = 0.6463414634146342
\]
Rounding this to one decimal place gives us \( 0.6 \).
Thus, we can complete the statements as follows:
a. Seattle's sales were larger than Portland's. (True)
b. Portland sales were smaller than Seattle's. (True)
c. Portland sales were \( 0.6 \) of Seattle's.
Reviewed and approved by the UpStudy tutoring team
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Explain 
Simplify this solution Beyond the Answer
a. Seattle's sales were larger than Portland's by \( 410,000 - 265,000 = 145,000 \). b. Portland sales were smaller than Seattle's by the same amount, \( 145,000 \). c. Portland sales were \( \frac{265,000}{410,000} \times 100 \approx 64.6\% \) of Seattle's sales.
