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5. data table: | time elapsed | salt water carrot mass (g) | pure water…

Question

  1. data table:
time elapsedsalt water carrot mass (g)pure water carrot mass (g)
10 minutes
20 minutes
30 minutes
% change
  1. calculate the following percent changes in the size of the candy for the full experiment. show your work!

\\% change in salt water carrot mass =

\\% change in pure water carrot mass =

equation for \\% change = (30 min measurement - 0 min measurement/ 0 min measurement) x 100

Explanation:

🆕 New Concept Discovered: Calculating Percent Change
How much a value grows or shrinks relative to its start

Step 1: Understand the Percent Change Formula

To find the percent change over the course of the experiment, we compare the final measurement (at 30 minutes) to the initial measurement (at 0 minutes).

The formula provided at the bottom of the worksheet is:

$$ \text{Percent Change} = \frac{\text{30 min measurement} - \text{0 min measurement}}{\text{0 min measurement}} \times 100 $$

This tells us how much the mass of the carrot increased or decreased relative to its starting mass. A positive result means the carrot gained mass, while a negative result means it lost mass.

Step 2: Calculate Salt Water Carrot Mass Percent Change

To calculate this value, locate the initial mass at 0 minutes and the final mass at 30 minutes from your Salt Water Carrot Mass (g) column in the data table, then plug them into the formula:

  1. Subtract the 0-minute mass from the 30-minute mass.
  2. Divide that difference by the 0-minute mass.
  3. Multiply the result by 100 to convert it to a percentage.
$$ \text{\% change} = \frac{\text{Mass at 30 min} - \text{Mass at 0 min}}{\text{Mass at 0 min}} \times 100 $$

Step 3: Calculate Pure Water Carrot Mass Percent Change

To calculate this value, locate the initial mass at 0 minutes and the final mass at 30 minutes from your Pure Water Carrot Mass (g) column in the data table, then plug them into the formula:

  1. Subtract the 0-minute mass from the 30-minute mass.
  2. Divide that difference by the 0-minute mass.
  3. Multiply the result by 100 to convert it to a percentage.
$$ \text{\% change} = \frac{\text{Mass at 30 min} - \text{Mass at 0 min}}{\text{Mass at 0 min}} \times 100 $$

Answer:

Because the data table in your image is currently blank, you will need to plug your recorded measurements into the following equations to get your final answers:

  • % change in salt water carrot mass =
$$ \frac{(\text{Mass at 30 min}) - (\text{Mass at 0 min})}{\text{Mass at 0 min}} \times 100 $$
  • % change in pure water carrot mass =
$$ \frac{(\text{Mass at 30 min}) - (\text{Mass at 0 min})}{\text{Mass at 0 min}} \times 100 $$