| Algebra 1 Notes
Chapter Seven
Section 7.1
Section 7.2
Section 7.3
Section 7.4
Section 7.5
Section 7.6
Section 7.7
Section 7.8
Section 7.9
Section 7.10
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Section
7.7 Fitting Equations to Data
(Examples provided by Prentice
Hall)
Part I: Problem Solving: Fitting
Equations to Data
(Examples Provided by Prentice Hall)
Solve each problem.
| Example
1 |
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The
cost, c, in dollars, of heating fuel is linearly related
to the amount a delivered, in gallons. An amount of 20
gallons costs $4. An amount of 80 gallons costs $10. Find a
linear equation that fits this data.
The pairs of the relation will be of the form (a, c)
where a is the amount and c is the corresponding
cost. We know two pairs on the line, (20, 4) and (80, 10). The
slope of the line is(1/10).
The point-slope
equation is c – 4 = (1/10) (a – 20). Solving
for c yields:
c – 4 = (1/10)a – 2
c = (1/10)a + 2
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| Example
2 |
Graph
the pairs (x, y). Estimate and draw the line of
best fit. Find the equation of the line.
| x |
0 |
1 |
2 |
3 |
4 |
5 |
| y |
1 |
3 |
3 |
4 |
4 |
6 |
One line of best fit will go through the points
(0, 1), (3, 4), and (5, 6). The equation of this line is y
= x + 1. |
Take class notes.
Before starting your homework, rework the
examples that are illustrated in this section of your textbook and the
examples that I demonstrated in class.
Then do your homework.
Write down questions (examples or concept
that you do not understand).......then.............. Ask these questions
in class.
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