LT 3: I can represent real­world situations with inequalities and absolute value.
p.35
Absolute Deviation Formula:
1)
The "normal" human body temperature is 98.6 . A temperature x, that differs from normal by at least 2 is considered unhealthy. Which inequality could be used to determine if a temperature is unhealthy.
2)
A clothing designer is selecting models to walk the runway for her fashion show. The designer prefers models that are no more than 3 inches away from being 5'10". Since 5'10" is the same as 70", which inequality could be used to determine if a model's height, x, is within the designer's preferred height range?
3) You are preheating an oven to 350
. The thermometer reads 346 . The measured temperature has an absolute deviation of at most 2 . Write, solve, and graph an inequality to decide if the oven is preheated yet.
4)
A golf ball manufacture puts 390 golf balls in each box. The box can be off by 6 golf balls. Write, solve, and graph an absolute value inequality that displays the acceptable amount of golf balls that can be in a box. p.36
Summary:
CW p.36 (1, 3)
1.
At the TX Design Company, the average starting salary for a new designer is $33,600, but the actual salary could differ from the average by as much as $1,560. Which inequality could be used to determine if a salary, x, falls within this range?
A. |x ­ 1,560| ≤ 33,600
B. x ­ 33,600 ≤ 1,560
C. |x ­ 33,600| ≥ 1,560
D. |x ­ 33,600| ≤ 1,560
P p.36­37 (all)
2.
Caleb is a machinist at Golden Eagle Chopper Shop. To ensure the reliability of the motorcycle engines produced at the shop, Caleb machines each cylinder to a 4.01" diameter with a tolerance of 0.0002". Which inequality could be used to determine if a cylinder's diameter, x, is acceptable?
A. 4.01 ­ x < 0.0002
B. |x ­ 4.01| ≤ 0.0002
C. |x ­ 4.01| ≥ 0.0002
D. x ­ 4.01 > 0.0002
3. An essay contest requires that essay 4. A candy manufacture puts 240 entries consist of 500 words with an absolute deviation of at most 30 words. Write, solve, and graph an absolute value inequality to represent this.
5.
Which inequality is represented by this graph?
pieces of candy into each bag. The bag can be off by 8 pieces. Write, solve, and graph an absolute value inequality that displays the acceptable amount of candy pieces that can be in a bag.
6. Which inequality has the solution represented by this graph?
MCA Prep
p.37
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answers p.36
answers p.37
p.37
B
B
C
D
A
A
A
C
Attachments
Two­step inequalities.pdf