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Chapter 2: Q5. (page 148)

Read each question. Then fill in the correct answer on the answer document provided by your teacher or on a sheet of paper.

The amount of soda, in fluid ounces, dispensed from a machine must satisfy the equation|a-0.4|=20.Which of the following graphs shows the acceptable minimum and maximum amounts that can be dispensed from the machine?

Short Answer

Expert verified

The20.4 and−19.6 maximum and minimum amounts that can be dispensed from the machine respectively.

Step by step solution

01

Step 1. Given information.

An equation for the amount of soda in fluid ounces dispensed from a machine:

|a−0.4|=20

To find the maximum and minimum number which is satisfy the given equation.

02

Step 2. To find the value of a.

|a−0.4|=20

It is a modulus function.

So, here will exist two cases

Case1:a-0.4=20⇒a=20+0.4⇒a=20.4Case2:a-0.4=-20⇒a=-20+0.4⇒a=-19.6

03

Step 3. Conclusion.

Therefore, the20.4and−19.6 maximum and minimum amounts that can be dispensed from the machine respectively.

Hence, the correct option is A.

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