Math 233A Homework 15: Linear Equations and Loans, Exercises of Algebra

Math 233a homework 15 with problems related to finding the point-slope form and slope-intercept form of a line passing through given points, writing an equation of a line perpendicular to a given line, and determining balances and payment schedules for loans. Additionally, it includes problems about finding the number of acres in the national park system and predicting its future state.

Typology: Exercises

2012/2013

Uploaded on 01/07/2013

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Math
233A
Name
Homework
#15
Chapter
3.5: The
Point-Slope
Form
of a
Linear
Equation
1.
Write
the point-slope
form
and then the slope-
intercept
form
of the equation of the
line
that
passes
through the points (-4,2) and (6, -3).
2.
Write
an equation, in slope-intercept
form
of
the
line
passing through (12,-7) and
perpendicular
to the
line
whose equation is
1 2 1
2
3-^3
3.
Say you were making
fixed
monthly payments to pay back a
loan
from
your brother.
After
three
months,
you
owed $6800, and after seven months you
still
owed $5200.
a.
Find
the function
B{M),
where B{M) is your balance, and
Mis
the number of
monthly
payments you
paid.
b.
Using
the function
from
part (a), determine your balance after 12 months.
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Download Math 233A Homework 15: Linear Equations and Loans and more Exercises Algebra in PDF only on Docsity!

Math 233A Name Homework # Chapter 3.5: The Point-Slope Form of a Linear Equation

  1. Write the point-slope form and then the slope- intercept form of the equation of the line that passes through the points (-4,2) and (6, -3).
  2. Write an equation, in slope-intercept form of the line passing through (12,-7) and perpendicular to the line whose equation is 1 2 1 2 3 - ^ 3
  3. Say you were making fixed monthly payments to pay back a loan from your brother. After three months, you owed $6800, and after seven months you still owed $5200.

a. Find the function B{M), where B{M) is your balance, and M i s the number of monthly payments you paid.

b. Using the function from part (a), determine your balance after 12 months.

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c. Using the function from part (a), determine how many months it will take you to pay off the entire loan and reach a balance of $0.

  1. The number of acres in the National Park System is decreasing. In 1990 there were 76.4 million acres, and in 1994 there were 74.9 million acres.

a. Find the function A(n), where A(n) is the number of acres, in million, and n is the number of years after

b. Using the function from part (a), determine the number of acres in 2012 rounded to the nearest acre. (Hint: In 1990, « = 0, so in 2012, « = ?)

c. Using the function from part (a), determine how many years it will take to have the no acres of National Park left. What year will it be? (Round to the nearest year.)

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