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Chapter 2 Section 4

The document provides an example of writing a linear equation to model the height of a candle over time based on data points. It shows the steps of identifying the x and y variables, calculating the slope of the line, and using the point-slope formula to write the final equation as y = 3/2x + 10/3. The linear equation models the decreasing height of a candle that is 5 inches after 1 hour and 4.5 inches after 3 hours of burning.

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41 views5 pages

Chapter 2 Section 4

The document provides an example of writing a linear equation to model the height of a candle over time based on data points. It shows the steps of identifying the x and y variables, calculating the slope of the line, and using the point-slope formula to write the final equation as y = 3/2x + 10/3. The linear equation models the decreasing height of a candle that is 5 inches after 1 hour and 4.5 inches after 3 hours of burning.

Uploaded by

api-317471870
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Chapter 2: Section 4

Using Linear Models

By Aysiah Sarol
Example Problem

A candle is 5 inches tall after burning for 1 hour. After 3


hours, it is 4 and inches tall. Write a linear equation to the
model the height y of the candle after burning x hours.
Step 1: Identify the data parts
(X, Y) =
X represents the # of hours
Y represents the height of the candle
(1, 5)
(3, 4 )
Step 2: Find the slope of the line
Formula: m= Y2 - Y over X2 - X1
1

5 - 4 over 3 -1
The answer would be 3/-2
Step 3: Use one of the points and point slope form to write
an equation for the line.
Use the formula Y-Y1 = (m(x-x1)
1. Y - 5 = 3/-2 ( x-1)
2. Y - 5 = 3/-2 + 3/2
3. +5 +5
4. Y = 3/-2 + 10/3

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