QuestionAugust 23, 2025

Section 3:Graphing &Variables Consider the following data on spring extension: Mass (g) Length (cm) 0 13.7 10 14.5 20 15.3 30 16.0

Section 3:Graphing &Variables Consider the following data on spring extension: Mass (g) Length (cm) 0 13.7 10 14.5 20 15.3 30 16.0
Section 3:Graphing &Variables
Consider the following data on spring extension:
Mass (g) Length (cm)
0	13.7
10	14.5
20	15.3
30	16.0

Solution
4.6(194 votes)

Answer

The equation of the line is ( y = 0.09x + 13.7 ). Explanation 1. Identify Variables Mass is the independent variable (x), and Length is the dependent variable (y). 2. Convert Units Convert mass from grams to kilograms by dividing by 1000. 3. Calculate Differences Find differences in length for each 10g increase in mass. 4. Calculate Slope **Slope (m) = \frac{y_2 - y_1}{x_2 - x_1}**. Use any two consecutive points. 5. Determine Equation of Line Use **y = mx + c**. Solve for c using one data point.

Explanation

1. Identify Variables<br /> Mass is the independent variable (x), and Length is the dependent variable (y).<br /><br />2. Convert Units<br /> Convert mass from grams to kilograms by dividing by 1000.<br /><br />3. Calculate Differences<br /> Find differences in length for each 10g increase in mass.<br /><br />4. Calculate Slope<br /> **Slope (m) = \frac{y_2 - y_1}{x_2 - x_1}**. Use any two consecutive points.<br /><br />5. Determine Equation of Line<br /> Use **y = mx + c**. Solve for c using one data point.
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