College

12. At Apple, the average starting salary for a new programmer is $145,000. The actual salary could differ by $1,500. Which absolute value equation is used to determine the highest and the lowest salary for a new programmer at Apple?

A. \(|x + 145,000| = 1500\)

B. \(|x - 145,000| = 1500\)

C. \(|x + 1500| = 145,000\)

D. \(|x - 1500| = 145,000\)

Answer :

Answer:

|x - 145000| = 1500

Step-by-step explanation:

The salary is x which is 145000.

The variation is $1500.

That means the salary could be as low as 145000 - 1500 and as high as 145000 + 1500.

x = 145000 - 1500 or x = 145000 + 1500

Subtract 145000 from both sides of both equations.

x - 145000 = -1500 or x - 145000 = 1500

Change to an absolute value equation.

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Recall that to solve an absolute value equation of the form |X| = k, where X is an expression in x and k is a number, you change the absolute value equation into the equation: X = -k or X = k.

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Now we do the reverse of the step shown above in the "Recall" section. We have the equation, and we want the absolute value equation.

x - 145000 = -1500 or x - 145000 = 1500

|x - 145000| = 1500
I believe the answer is D

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