QUESTION IMAGE
Question
use the tables given to answer parts (a) and (b).
(a) compute the ratio of total charges for public four - year in - state from 2020 - 21 to 2021 - 22 and scale the second quantity to 1
click on the icon to view the table for part (a).
(b) fill in the ratio table for 2021 - 22, using the values given in the second row of the table to avoid round - off error whenever possible.
click on the icon to view the table for part (b).
(a) compute the ratio of total charges (tuition and fees and room and board) for public four - year in - state from 2020 - 21 to 2021 - 22 and scale the second quantity to 1
the scaled ratio is
(type integers or decimals rounded to three decimal places as needed.)
To solve this problem, we need the actual values from the table (which are not visible in the provided image) for Total Charges (Tuition and Fees and Room and Board) for Public Four - Year In - State for 2020 - 21 and 2021 - 22. Let's assume the following (since the table is not shown, this is a general method):
Step 1: Define the ratio formula
Let \( C_{20 - 21} \) be the total charges for 2020 - 21 and \( C_{21 - 22} \) be the total charges for 2021 - 22. The ratio of total charges from 2020 - 21 to 2021 - 22 is given by the formula:
\( \text{Ratio}=\frac{C_{21 - 22}}{C_{20 - 21}} \) (if we want to scale the second quantity (2021 - 22) to 1, we can also think of it as \( \text{Scaled Ratio}=\frac{C_{21 - 22}}{C_{20 - 21}} \), and if we want to scale the first quantity to 1, it would be \( \frac{C_{20 - 21}}{C_{21 - 22}} \). But from the problem statement "scale the second quantity to 1", so we use \( \text{Ratio}=\frac{C_{21 - 22}}{C_{20 - 21}} \))
Step 2: Obtain the values from the table
Suppose from the table (after clicking the icon), we find that \( C_{20 - 21}=x \) and \( C_{21 - 22}=y \). Then we substitute these values into the formula. For example, if \( C_{20 - 21} = 10000\) and \( C_{21 - 22}=10500\) (these are just sample values), then:
Step 3: Calculate the ratio
\( \text{Ratio}=\frac{10500}{10000}=1.050 \)
Since the actual table values are not provided, you need to:
- Click on the icon to view the table for part (a) to get the values of total charges for 2020 - 21 and 2021 - 22.
- Substitute those values into the ratio formula \( \text{Ratio}=\frac{\text{Total Charges}_{2021 - 22}}{\text{Total Charges}_{2020 - 21}} \)
- Round the result to three decimal places (if necessary) as per the problem's instructions.
If you can provide the values from the table (by clicking the icon and getting the numbers), we can calculate the exact ratio. For example, if the total charges for 2020 - 21 is \( \$21706 \) and for 2021 - 22 is \( \$22698 \) (these are approximate real - world values for public four - year in - state colleges in the US), then:
Step 1: Identify the values
Let \( C_{20 - 21}=21706 \) and \( C_{21 - 22}=22698 \)
Step 2: Calculate the ratio
\( \text{Ratio}=\frac{22698}{21706}\approx1.0457 \approx 1.046\) (rounded to three decimal places)
So, the general answer depends on the values from the table. If we use the sample real - world values, the scaled ratio (scaling the second quantity to 1) is approximately \( 1.046 \)
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To solve this problem, we need the actual values from the table (which are not visible in the provided image) for Total Charges (Tuition and Fees and Room and Board) for Public Four - Year In - State for 2020 - 21 and 2021 - 22. Let's assume the following (since the table is not shown, this is a general method):
Step 1: Define the ratio formula
Let \( C_{20 - 21} \) be the total charges for 2020 - 21 and \( C_{21 - 22} \) be the total charges for 2021 - 22. The ratio of total charges from 2020 - 21 to 2021 - 22 is given by the formula:
\( \text{Ratio}=\frac{C_{21 - 22}}{C_{20 - 21}} \) (if we want to scale the second quantity (2021 - 22) to 1, we can also think of it as \( \text{Scaled Ratio}=\frac{C_{21 - 22}}{C_{20 - 21}} \), and if we want to scale the first quantity to 1, it would be \( \frac{C_{20 - 21}}{C_{21 - 22}} \). But from the problem statement "scale the second quantity to 1", so we use \( \text{Ratio}=\frac{C_{21 - 22}}{C_{20 - 21}} \))
Step 2: Obtain the values from the table
Suppose from the table (after clicking the icon), we find that \( C_{20 - 21}=x \) and \( C_{21 - 22}=y \). Then we substitute these values into the formula. For example, if \( C_{20 - 21} = 10000\) and \( C_{21 - 22}=10500\) (these are just sample values), then:
Step 3: Calculate the ratio
\( \text{Ratio}=\frac{10500}{10000}=1.050 \)
Since the actual table values are not provided, you need to:
- Click on the icon to view the table for part (a) to get the values of total charges for 2020 - 21 and 2021 - 22.
- Substitute those values into the ratio formula \( \text{Ratio}=\frac{\text{Total Charges}_{2021 - 22}}{\text{Total Charges}_{2020 - 21}} \)
- Round the result to three decimal places (if necessary) as per the problem's instructions.
If you can provide the values from the table (by clicking the icon and getting the numbers), we can calculate the exact ratio. For example, if the total charges for 2020 - 21 is \( \$21706 \) and for 2021 - 22 is \( \$22698 \) (these are approximate real - world values for public four - year in - state colleges in the US), then:
Step 1: Identify the values
Let \( C_{20 - 21}=21706 \) and \( C_{21 - 22}=22698 \)
Step 2: Calculate the ratio
\( \text{Ratio}=\frac{22698}{21706}\approx1.0457 \approx 1.046\) (rounded to three decimal places)
So, the general answer depends on the values from the table. If we use the sample real - world values, the scaled ratio (scaling the second quantity to 1) is approximately \( 1.046 \)