Linear Inequalities with Absolute Value
Arithmetic Explicit Formula: Geometric Explicit Formula: Sum of a Finite Arithmetic Series: Sum of a Finite Geometric Series: Sum of a Infinite Geometric Series:
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
HOMEWORK
On the real number line, x is greater than 5 units away from 2.
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.
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.
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
Page 305 Write and absolute value inequality and a compound inequality for each length x with the given tolerance. 27. A length of 10 ft with a tolerance of 1 in.
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.
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?
HOMEWORK
Write an absolute value inequality and a compound inequality for each length x with the given tolerance. A length of 36. 80 mm with a tolerance of 0. 05 mm A length of 9. 55 mm with a tolerance of 0. 02 mm A length of 100 yards with a tolerance of 4 in.
Write an absolute value inequality and a compound inequality for each length x with the given tolerance. A length of 36. 80 mm with a tolerance of 0. 05 mm
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
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.
The axle for the wheels on a mobile robot needs to be 5 mm in diameter. The tolerance for the axle is ± 0. 05 mm. Write an absolute value inequality and a compound inequality for this and graph it.
The Trade dollar’s 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.
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. John’s 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 John’s rotor will have if he machines it to the minimum and maximum amount.
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!
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