Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
Cumulative Assessment

Exercise 1 Page 98

The absolute value of the difference between the expected attendance and the actual attendance must be 30.

A

Practice makes perfect
The expected attendance at a school event is 65 people. We are told that the actual attendance x can vary by up to 30 people. This means that the actual attendance can be 30 people more than expected, or 30 people less than expected.

x=65+30 or x=65-30 We can subtract 65 in both sides of these equations in order to write them as an absolute value equation. x-65=30 or x-65 =-30 ⇓ |x-65|=30 Therefore, the answer is A.