Questions: In the yeast experiment measuring CO2 production, your trendline for the tubes in the room temperature water bath gives the equation: y=0.57x+5.86, where time (in minutes) is plotted as the independent variable and distance moved (in mm) is plotted as the dependent variable. How far would the water have moved after 25 minutes? 15.5 mm 20.1 mm 28.8 mm 14.7 mm 5.86 mm

The given equation for the trendline is \( y = 0.57x + 5.86 \), where \( y \) represents the distance moved (in mm) and \( x \) represents the time (in minutes).

To find out how far the water would have moved after 25 minutes, we need to substitute \( x = 25 \) into the equation and solve for \( y \).

\[ y = 0.57(25) + 5.86 \]

First, calculate \( 0.57 \times 25 \):

\[ 0.57 \times 25 = 14.25 \]

Next, add 5.86 to 14.25:

\[ y = 14.25 + 5.86 = 20.11 \]

Therefore, the distance moved after 25 minutes is approximately 20.1 mm.

The answer is the second one: 20.1 mm.

Explanation for each option:

• 15.5 mm: Incorrect. This value is lower than the calculated distance.
• 20.1 mm: Correct. This matches the calculated distance.
• 28.8 mm: Incorrect. This value is higher than the calculated distance.
• 14.7 mm: Incorrect. This value is lower than the calculated distance.
• 5.86 mm: Incorrect. This value represents the y-intercept, not the distance after 25 minutes.

In summary, the correct answer is 20.1 mm.