Question

drag each tile to the correct box.

the cpi basket price for two consecutive years of five different economies are given. determine the rate of inflation for each economy. then order the tiles from least to greatest inflation rate.

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tiles:

• year 1 = $132.00, year 2 = $134.50
• year 1 = $115.50, year 2 = $117.50
• year 1 = $95.00, year 2 = $97.50
• year 1 = $100.00, year 2 = $102.00
• year 1 = $88.00, year 2 = $89.25

Explanation:

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<reasoning>

Calculate inflation rate for each economy

\[
\text{Inflation Rate} = \frac{\text{Year 2 Price} - \text{Year 1 Price}}{\text{Year 1 Price}} \times 100\%
\]

• Economy A (top-left tile):

Year 1 = \$132.00, Year 2 = \$134.50 (the crossed-out/corrected value is \$134.50)
\[
\text{Rate}_A = \frac{134.50 - 132.00}{132.00} \times 100\% \approx 1.89\%
\]

• Economy B (bottom-left tile):

Year 1 = \$115.50, Year 2 = \$117.50
\[
\text{Rate}_B = \frac{117.50 - 115.50}{115.50} \times 100\% \approx 1.73\%
\]

• Economy C (second tile from left):

Year 1 = \$95.00, Year 2 = \$97.50
\[
\text{Rate}_C = \frac{97.50 - 95.00}{95.00} \times 100\% \approx 2.63\%
\]

• Economy D (third tile from left):

Year 1 = \$100.00, Year 2 = \$102.00
\[
\text{Rate}_D = \frac{102.00 - 100.00}{100.00} \times 100\% = 2.00\%
\]

• Economy E (fourth tile from left):

Year 1 = \$88.00, Year 2 = \$89.25
\[
\text{Rate}_E = \frac{89.25 - 88.00}{88.00} \times 100\% \approx 1.42\%
\]

Order the inflation rates from least to greatest

Comparing the calculated rates:
\[
1.42\% < 1.73\% < 1.89\% < 2.00\% < 2.63\%
\]
The corresponding order of the tiles is:

1. Year 1 = \$88.00, Year 2 = \$89.25 (\(\approx 1.42\%\))
2. Year 1 = \$115.50, Year 2 = \$117.50 (\(\approx 1.73\%\))
3. Year 1 = \$132.00, Year 2 = \$134.50 (\(\approx 1.89\%\))
4. Year 1 = \$100.00, Year 2 = \$102.00 (\(2.00\%\))
5. Year 1 = \$95.00, Year 2 = \$97.50 (\(\approx 2.63\%\))

</reasoning>

<answer>
The correct order of the tiles from least to greatest inflation rate is:

1. First Box (Least):

Year 1 = \$88.00
Year 2 = \$89.25
(Inflation Rate: \(\approx 1.42\%\))

1. Second Box:

Year 1 = \$115.50
Year 2 = \$117.50
(Inflation Rate: \(\approx 1.73\%\))

1. Third Box:

Year 1 = \$132.00
Year 2 = \$134.50
(Inflation Rate: \(\approx 1.89\%\))

1. Fourth Box:

Year 1 = \$100.00
Year 2 = \$102.00
(Inflation Rate: \(2.00\%\))

1. Fifth Box (Greatest):

Year 1 = \$95.00
Year 2 = \$97.50
(Inflation Rate: \(\approx 2.63\%\))
</answer>

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Answer:

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<reasoning>

Calculate inflation rate for each economy

\[
\text{Inflation Rate} = \frac{\text{Year 2 Price} - \text{Year 1 Price}}{\text{Year 1 Price}} \times 100\%
\]

• Economy A (top-left tile):

Year 1 = \$132.00, Year 2 = \$134.50 (the crossed-out/corrected value is \$134.50)
\[
\text{Rate}_A = \frac{134.50 - 132.00}{132.00} \times 100\% \approx 1.89\%
\]

• Economy B (bottom-left tile):

Year 1 = \$115.50, Year 2 = \$117.50
\[
\text{Rate}_B = \frac{117.50 - 115.50}{115.50} \times 100\% \approx 1.73\%
\]

• Economy C (second tile from left):

Year 1 = \$95.00, Year 2 = \$97.50
\[
\text{Rate}_C = \frac{97.50 - 95.00}{95.00} \times 100\% \approx 2.63\%
\]

• Economy D (third tile from left):

Year 1 = \$100.00, Year 2 = \$102.00
\[
\text{Rate}_D = \frac{102.00 - 100.00}{100.00} \times 100\% = 2.00\%
\]

• Economy E (fourth tile from left):

Year 1 = \$88.00, Year 2 = \$89.25
\[
\text{Rate}_E = \frac{89.25 - 88.00}{88.00} \times 100\% \approx 1.42\%
\]

Order the inflation rates from least to greatest

Comparing the calculated rates:
\[
1.42\% < 1.73\% < 1.89\% < 2.00\% < 2.63\%
\]
The corresponding order of the tiles is:

1. Year 1 = \$88.00, Year 2 = \$89.25 (\(\approx 1.42\%\))
2. Year 1 = \$115.50, Year 2 = \$117.50 (\(\approx 1.73\%\))
3. Year 1 = \$132.00, Year 2 = \$134.50 (\(\approx 1.89\%\))
4. Year 1 = \$100.00, Year 2 = \$102.00 (\(2.00\%\))
5. Year 1 = \$95.00, Year 2 = \$97.50 (\(\approx 2.63\%\))

</reasoning>

<answer>
The correct order of the tiles from least to greatest inflation rate is:

1. First Box (Least):

Year 1 = \$88.00
Year 2 = \$89.25
(Inflation Rate: \(\approx 1.42\%\))

1. Second Box:

Year 1 = \$115.50
Year 2 = \$117.50
(Inflation Rate: \(\approx 1.73\%\))

1. Third Box:

Year 1 = \$132.00
Year 2 = \$134.50
(Inflation Rate: \(\approx 1.89\%\))

1. Fourth Box:

Year 1 = \$100.00
Year 2 = \$102.00
(Inflation Rate: \(2.00\%\))

1. Fifth Box (Greatest):

Year 1 = \$95.00
Year 2 = \$97.50
(Inflation Rate: \(\approx 2.63\%\))
</answer>

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