Linear Inequalities with Absolute Value

1
Linear Inequalities with Absolute Value
2
Arithmetic Explicit Formula
Geometric Explicit Formula
Sum of a Finite Arithmetic Series
Sum of a Finite Geometric Series
Sum of a Infinite Geometric Series
3
(No Transcript)
4
(No Transcript)
5
(No Transcript)
6
(No Transcript)
7
(No Transcript)
8
(No Transcript)
9
(No Transcript)
10
Susan is hoping to buy a house someday and is
saving for the down payment. She decides to save
more money each month than she did the month
before. The first month she puts 200 into
savings and increases that amount by 10 every
month. How much will she have saved after five
years?
5 min
11
HOMEWORK
12
(No Transcript)
13
On the real number line, x is greater than 5
units away from 2.
14
A company wants to make peppermint candies that
are 0.9375 inches in diameter. Acceptable
candies will measure within .03 inches of this
standard. Determine the solution set for the
diameter of these candies.
15
? CHECKPOINT ?
The specification for a length x is 43.6 cm with
a tolerance of 0.1 cm Write the specification as
an absolute value inequality.
16
Page 305 Write and absolute value inequality and
a compound inequality for each length x with the
given tolerance.
25. A length of 4.2 cm with a tolerance of 0.01
cm
17
Page 305 Write and absolute value inequality and
a compound inequality for each length x with the
given tolerance.
27. A length of 10ft with a tolerance of 1 in.
18
Page 305 Write and absolute value inequality and
a compound inequality for each length x with the
given tolerance.
29. The weight of a 40-lb bag of fertilizer
varies as much as 4 oz. from the stated weight.
Write and absolute value inequality and a
compound inequality for the weight w of a bag of
fertilizer.
19
(No Transcript)
20
A biologist is studying the population growth of
deer in Kentucky. He determines that the growth
rate is 2.1 per year. If there are 200 deer in
a particular region, how many deer will there be
in 5 years if left unchecked?
21
(No Transcript)
22
HOMEWORK
23
Write an absolute value inequality and a compound
inequality for each length x with the given
tolerance.
A length of 36.80mm with a tolerance of 0.05mm
A length of 9.55 mm with a tolerance of 0.02 mm
A length of 100 yards with a tolerance of 4 in.
24
Write an absolute value inequality and a compound
inequality for each length x with the given
tolerance.
A length of 36.80mm with a tolerance of 0.05mm
25
Write an absolute value inequality and a compound
inequality for each length x with the given
tolerance.
A length of 9.55 mm with a tolerance of 0.02 mm
26
Write an absolute value inequality and a compound
inequality for each length x with the given
tolerance.
A length of 100 yards with a tolerance of 4 in.
27
The axle for the wheels on a mobile robot needs
to be 5 mm in diameter. The tolerance for the
axle is 0.05mm. Write an absolute value
inequality and a compound inequality for this and
graph it.
28
The Trade dollars specified total weight is
27.216 grams, but the coin can be over or under
tolerance by as much as 0.097 gram and still
remain of legal weight. Mr. Jones wants to know
if his trade dollar, weighing 26.99 grams is real
or fake. Write an absolute value Inequality and
a compound inequality for the Trade dollar and
state whether Mr. Jones trade dollar is real
according to your analysis.
Trade dollars were struck from 1873 to 1885.
Composed of 90 percent silver and 10 percent
copper.
29
A brake rotor can only be safely machined down to
1.01 inches before there is no longer enough
material left on the rotor to last the service
life of a set of brake pads. Ford recommends a
minimum cut depth of 0.002 in and a maximum cut
depth of 0.008 in . Johns brake rotor
measures 1.012. inches Can John still machine his
rotors or will he have to buy new ones? Write
an absolute value compound inequality for the
range of thickness Johns rotor will have if he
machines it to the minimum and maximum amount.
30
Jane is making a five year business plan to sell
hand made dog clothes. She expects that the
first month she can sell 50 outfits on ebay. She
plans to increase that amount by 2 a month for
the first two years. During the last three years
she is planning for a 3 increase every month.
How many outfits will she sell over the five
years if she meets her goals?
This bell ringer will be collected and graded!